492676800 has 672 divisors, whose sum is σ = 2128625664. Its totient is φ = 96768000.

The previous prime is 492676763. The next prime is 492676829. The reversal of 492676800 is 8676294.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11457579 + ... + 11457621.

Almost surely, 2^492676800 is an apocalyptic number.

492676800 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 492676800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1064312832).

492676800 is an abundant number, since it is smaller than the sum of its proper divisors (1635948864).

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

492676800 is a wasteful number, since it uses less digits than its factorization.

492676800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 492676800 is about 22196.3240199813. The cubic root of 492676800 is about 789.8065007049.

The spelling of 492676800 in words is "four hundred ninety-two million, six hundred seventy-six thousand, eight hundred".