313532400 has 120 divisors (see below), whose sum is σ = 1009649664. Its totient is φ = 83168000.

The previous prime is 313532341. The next prime is 313532437. The reversal of 313532400 is 4235313.

It is a tau number, because it is divible by the number of its divisors (120).

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, 271825 + ... + 272975.

Almost surely, 2^313532400 is an apocalyptic number.

313532400 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 313532400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504824832).

313532400 is an abundant number, since it is smaller than the sum of its proper divisors (696117264).

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

313532400 is a wasteful number, since it uses less digits than its factorization.

313532400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1388 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 313532400 is about 17706.8461336287. The cubic root of 313532400 is about 679.3508799781.

Adding to 313532400 its reverse (4235313), we get a palindrome (317767713).

The spelling of 313532400 in words is "three hundred thirteen million, five hundred thirty-two thousand, four hundred".