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498672720 = 243357134359
BaseRepresentation
bin11101101110010…
…010010001010000
31021202100012101000
4131232102101100
52010130011340
6121252142000
715233435220
oct3556222120
91252305330
10498672720
11236540217
1211b007900
137c40bc20
144a32c080
152dba4d30
hex1db92450

498672720 has 640 divisors, whose sum is σ = 2199859200. Its totient is φ = 101025792.

The previous prime is 498672703. The next prime is 498672721. The reversal of 498672720 is 27276894.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (498672721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8452051 + ... + 8452109.

It is an arithmetic number, because the mean of its divisors is an integer number (3437280).

Almost surely, 2498672720 is an apocalyptic number.

498672720 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 498672720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099929600).

498672720 is an abundant number, since it is smaller than the sum of its proper divisors (1701186480).

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

498672720 is a wasteful number, since it uses less digits than its factorization.

498672720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The square root of 498672720 is about 22330.9811696665. The cubic root of 498672720 is about 792.9975950699.

The spelling of 498672720 in words is "four hundred ninety-eight million, six hundred seventy-two thousand, seven hundred twenty".