492428390400 has 468 divisors, whose sum is σ = 1769981722600. Its totient is φ = 130852454400.

The previous prime is 492428390383. The next prime is 492428390411. The reversal of 492428390400 is 4093824294.

It is a happy number.

492428390400 is a `hidden beast` number, since 49 + 2 + 42 + 83 + 90 + 400 = 666.

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 35 ways as a sum of consecutive naturals, for example, 321637635 + ... + 321639165.

Almost surely, 2^492428390400 is an apocalyptic number.

492428390400 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 492428390400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884990861300).

492428390400 is an abundant number, since it is smaller than the sum of its proper divisors (1277553332200).

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

492428390400 is a wasteful number, since it uses less digits than its factorization.

492428390400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 492428390400 in words is "four hundred ninety-two billion, four hundred twenty-eight million, three hundred ninety thousand, four hundred".