492596640 has 240 divisors, whose sum is σ = 1756339200. Its totient is φ = 130014720.

The previous prime is 492596623. The next prime is 492596669. The reversal of 492596640 is 46695294.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2475261 + ... + 2475459.

It is an arithmetic number, because the mean of its divisors is an integer number (7318080).

Almost surely, 2^492596640 is an apocalyptic number.

492596640 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 492596640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878169600).

492596640 is an abundant number, since it is smaller than the sum of its proper divisors (1263742560).

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

492596640 is a wasteful number, since it uses less digits than its factorization.

492596640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 492596640 is about 22194.5182421246. The cubic root of 492596640 is about 789.7636637490.

The spelling of 492596640 in words is "four hundred ninety-two million, five hundred ninety-six thousand, six hundred forty".