31424900 has 72 divisors (see below), whose sum is σ = 76703424. Its totient is φ = 11088000.

The previous prime is 31424881. The next prime is 31424947. The reversal of 31424900 is 942413.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29375 + ... + 30425.

Almost surely, 2^31424900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31424900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38351712).

31424900 is an abundant number, since it is smaller than the sum of its proper divisors (45278524).

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

31424900 is a wasteful number, since it uses less digits than its factorization.

31424900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1101 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 31424900 is about 5605.7916479298. The cubic root of 31424900 is about 315.5667967702.

The spelling of 31424900 in words is "thirty-one million, four hundred twenty-four thousand, nine hundred".