31420400 has 120 divisors (see below), whose sum is σ = 85013904. Its totient is φ = 11059200.

The previous prime is 31420381. The next prime is 31420409. The reversal of 31420400 is 402413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31420409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 162704 + ... + 162896.

Almost surely, 2^31420400 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 31420400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42506952).

31420400 is an abundant number, since it is smaller than the sum of its proper divisors (53593504).

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

31420400 is a wasteful number, since it uses less digits than its factorization.

31420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 31420400 is about 5605.3902629523. The cubic root of 31420400 is about 315.5517331489.

Adding to 31420400 its reverse (402413), we get a palindrome (31822813).

The spelling of 31420400 in words is "thirty-one million, four hundred twenty thousand, four hundred".