492239462400 has 1344 divisors, whose sum is σ = 2105600828160. Its totient is φ = 111795240960.

The previous prime is 492239462399. The next prime is 492239462419. The reversal of 492239462400 is 4264932294.

492239462400 is a `hidden beast` number, since 4 + 9 + 2 + 239 + 4 + 6 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3135283122 + ... + 3135283278.

Almost surely, 2^492239462400 is an apocalyptic number.

492239462400 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 492239462400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052800414080).

492239462400 is an abundant number, since it is smaller than the sum of its proper divisors (1613361365760).

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

492239462400 is an frugal number, since it uses more digits than its factorization.

492239462400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 492239462400 in words is "four hundred ninety-two billion, two hundred thirty-nine million, four hundred sixty-two thousand, four hundred".