31298400 has 432 divisors, whose sum is σ = 136491264. Its totient is φ = 6842880.

The previous prime is 31298357. The next prime is 31298413. The reversal of 31298400 is 489213.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 1360789 + ... + 1360811.

It is an arithmetic number, because the mean of its divisors is an integer number (315952).

Almost surely, 2^31298400 is an apocalyptic number.

31298400 is a gapful number since it is divisible by the number (30) 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 31298400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68245632).

31298400 is an abundant number, since it is smaller than the sum of its proper divisors (105192864).

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

31298400 is a wasteful number, since it uses less digits than its factorization.

31298400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 31298400 is about 5594.4972964512. The cubic root of 31298400 is about 315.1427924040.

The spelling of 31298400 in words is "thirty-one million, two hundred ninety-eight thousand, four hundred".