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491628480 = 26357149491
BaseRepresentation
bin11101010011011…
…010011111000000
31021021002022111020
4131103122133000
52001324102410
6120441145440
715116526120
oct3523323700
91237068436
10491628480
11232569832
1211878b280
137ab13835
1449416c80
152d262a70
hex1d4da7c0

491628480 has 224 divisors, whose sum is σ = 1799539200. Its totient is φ = 111390720.

The previous prime is 491628479. The next prime is 491628481. The reversal of 491628480 is 84826194.

It is an interprime number because it is at equal distance from previous prime (491628479) and next prime (491628481).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×4916284802 = 483397124694220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (491628481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1001035 + ... + 1001525.

Almost surely, 2491628480 is an apocalyptic number.

491628480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 491628480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899769600).

491628480 is an abundant number, since it is smaller than the sum of its proper divisors (1307910720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

491628480 is a wasteful number, since it uses less digits than its factorization.

491628480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 491628480 is about 22172.6967236735. The cubic root of 491628480 is about 789.2459182576.

The spelling of 491628480 in words is "four hundred ninety-one million, six hundred twenty-eight thousand, four hundred eighty".