496062720 has 324 divisors, whose sum is σ = 1835460900. Its totient is φ = 123666432.

The previous prime is 496062709. The next prime is 496062739. The reversal of 496062720 is 27260694.

It is a happy number.

496062720 is a `hidden beast` number, since 4 + 9 + 6 + 0 + 627 + 20 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 20736 + 496041984 = 144^2 + 22272^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3329206 + ... + 3329354.

Almost surely, 2^496062720 is an apocalyptic number.

496062720 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 496062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (917730450).

496062720 is an abundant number, since it is smaller than the sum of its proper divisors (1339398180).

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

496062720 is a wasteful number, since it uses less digits than its factorization.

496062720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 496062720 is about 22272.4655123765. The cubic root of 496062720 is about 791.6116859817.

It can be divided in two parts, 49606 and 2720, that added together give a triangular number (52326 = T₃₂₃).

The spelling of 496062720 in words is "four hundred ninety-six million, sixty-two thousand, seven hundred twenty".