31426400 has 72 divisors (see below), whose sum is σ = 77510664. Its totient is φ = 12441600.

The previous prime is 31426397. The next prime is 31426411. The reversal of 31426400 is 462413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130280 + ... + 130520.

It is an arithmetic number, because the mean of its divisors is an integer number (1076537).

Almost surely, 2^31426400 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 31426400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38755332).

31426400 is an abundant number, since it is smaller than the sum of its proper divisors (46084264).

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

31426400 is a wasteful number, since it uses less digits than its factorization.

31426400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 31426400 is about 5605.9254365359. The cubic root of 31426400 is about 315.5718176577.

Adding to 31426400 its reverse (462413), we get a palindrome (31888813).

The spelling of 31426400 in words is "thirty-one million, four hundred twenty-six thousand, four hundred".