492504624 has 240 divisors, whose sum is σ = 1543651200. Its totient is φ = 151538688.

The previous prime is 492504613. The next prime is 492504641. The reversal of 492504624 is 426405294.

492504624 is a `hidden beast` number, since 4 + 9 + 25 + 0 + 4 + 624 = 666.

It is a super-2 number, since 2×492504624² = 485121609322762752, which contains 22 as substring.

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

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 4358392 + ... + 4358504.

It is an arithmetic number, because the mean of its divisors is an integer number (6431880).

Almost surely, 2^492504624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 492504624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771825600).

492504624 is an abundant number, since it is smaller than the sum of its proper divisors (1051146576).

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

492504624 is a wasteful number, since it uses less digits than its factorization.

492504624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 492504624 is about 22192.4452010138. The cubic root of 492504624 is about 789.7144852983.

The spelling of 492504624 in words is "four hundred ninety-two million, five hundred four thousand, six hundred twenty-four".