492033998400 has 672 divisors, whose sum is σ = 1921885920000. Its totient is φ = 107826216960.

The previous prime is 492033998369. The next prime is 492033998411. The reversal of 492033998400 is 4899330294.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-4 number, since 4×492033998400⁴ (a number of 48 digits) contains 4444 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 145183906 + ... + 145187294.

Almost surely, 2^492033998400 is an apocalyptic number.

492033998400 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 492033998400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (960942960000).

492033998400 is an abundant number, since it is smaller than the sum of its proper divisors (1429851921600).

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

492033998400 is a wasteful number, since it uses less digits than its factorization.

492033998400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 51.

The spelling of 492033998400 in words is "four hundred ninety-two billion, thirty-three million, nine hundred ninety-eight thousand, four hundred".