492978204432 has 400 divisors, whose sum is σ = 1663885504512. Its totient is φ = 138005441280.

The previous prime is 492978204373. The next prime is 492978204443. The reversal of 492978204432 is 234402879294.

492978204432 is a `hidden beast` number, since 4 + 92 + 97 + 8 + 20 + 443 + 2 = 666.

It is a hoax number, since the sum of its digits (54) 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 (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 107564413 + ... + 107568995.

Almost surely, 2^492978204432 is an apocalyptic number.

492978204432 is a gapful number since it is divisible by the number (42) 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 492978204432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831942752256).

492978204432 is an abundant number, since it is smaller than the sum of its proper divisors (1170907300080).

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

492978204432 is a wasteful number, since it uses less digits than its factorization.

492978204432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4848 (or 4833 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 492978204432 in words is "four hundred ninety-two billion, nine hundred seventy-eight million, two hundred four thousand, four hundred thirty-two".