492849878400 has 1152 divisors, whose sum is σ = 2007656501760. Its totient is φ = 118394265600.

The previous prime is 492849878267. The next prime is 492849878471. The reversal of 492849878400 is 4878948294.

492849878400 is a `hidden beast` number, since 49 + 28 + 498 + 7 + 84 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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 143 ways as a sum of consecutive naturals, for example, 1342915017 + ... + 1342915383.

It is an arithmetic number, because the mean of its divisors is an integer number (1742757380).

Almost surely, 2^492849878400 is an apocalyptic number.

492849878400 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 492849878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1003828250880).

492849878400 is an abundant number, since it is smaller than the sum of its proper divisors (1514806623360).

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

492849878400 is a wasteful number, since it uses less digits than its factorization.

492849878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 37158912, while the sum is 63.

The spelling of 492849878400 in words is "four hundred ninety-two billion, eight hundred forty-nine million, eight hundred seventy-eight thousand, four hundred".