831488400 has 90 divisors (see below), whose sum is σ = 2885508210. Its totient is φ = 221729280.

The previous prime is 831488347. The next prime is 831488419. The reversal of 831488400 is 4884138.

It can be written as a sum of positive squares in 3 ways, for example, as 37601424 + 793886976 = 6132^2 + 28176^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 111885 + ... + 119084.

Almost surely, 2^831488400 is an apocalyptic number.

831488400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

831488400 is an abundant number, since it is smaller than the sum of its proper divisors (2054019810).

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

831488400 is a wasteful number, since it uses less digits than its factorization.

831488400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230993 (or 230979 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 831488400 is about 28835.5405706222. The cubic root of 831488400 is about 940.3410562621.

The spelling of 831488400 in words is "eight hundred thirty-one million, four hundred eighty-eight thousand, four hundred".