492088504320 has 1040 divisors, whose sum is σ = 2082570006528. Its totient is φ = 108769443840.

The previous prime is 492088504307. The next prime is 492088504331. The reversal of 492088504320 is 23405880294.

492088504320 is a `hidden beast` number, since 4 + 9 + 208 + 8 + 5 + 0 + 432 + 0 = 666.

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

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 79 ways as a sum of consecutive naturals, for example, 359976277 + ... + 359977643.

Almost surely, 2^492088504320 is an apocalyptic number.

492088504320 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 492088504320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1041285003264).

492088504320 is an abundant number, since it is smaller than the sum of its proper divisors (1590481502208).

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

492088504320 is a wasteful number, since it uses less digits than its factorization.

492088504320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1446 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 492088504320 in words is "four hundred ninety-two billion, eighty-eight million, five hundred four thousand, three hundred twenty".