492488640 has 448 divisors, whose sum is σ = 2106777600. Its totient is φ = 105725952.

The previous prime is 492488639. The next prime is 492488653. The reversal of 492488640 is 46884294.

492488640 is a `hidden beast` number, since 492 + 48 + 86 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1027921 + ... + 1028399.

Almost surely, 2^492488640 is an apocalyptic number.

492488640 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 492488640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1053388800).

492488640 is an abundant number, since it is smaller than the sum of its proper divisors (1614288960).

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

492488640 is a wasteful number, since it uses less digits than its factorization.

492488640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The square root of 492488640 is about 22192.0850755399. The cubic root of 492488640 is about 789.7059419384.

The spelling of 492488640 in words is "four hundred ninety-two million, four hundred eighty-eight thousand, six hundred forty".