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461220480 = 2734573141
BaseRepresentation
bin11011011111011…
…010101010000000
31012010212102120000
4123133122222000
51421033023410
6113433320000
714300211060
oct3337325200
91163772500
10461220480
1121738a856
1210a566000
1374727c36
144537d3a0
152a757dc0
hex1b7daa80

461220480 has 640 divisors, whose sum is σ = 1990517760. Its totient is φ = 99532800.

The previous prime is 461220479. The next prime is 461220491. The reversal of 461220480 is 84022164.

461220480 is a `hidden beast` number, since 4 + 612 + 2 + 0 + 48 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11249260 + ... + 11249300.

It is an arithmetic number, because the mean of its divisors is an integer number (3110184).

Almost surely, 2461220480 is an apocalyptic number.

461220480 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 461220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (995258880).

461220480 is an abundant number, since it is smaller than the sum of its proper divisors (1529297280).

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

461220480 is a wasteful number, since it uses less digits than its factorization.

461220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 461220480 is about 21476.0443285071. The cubic root of 461220480 is about 772.6263720113.

The spelling of 461220480 in words is "four hundred sixty-one million, two hundred twenty thousand, four hundred eighty".