1312358400 has 306 divisors, whose sum is σ = 4753945170. Its totient is φ = 346030080.

The previous prime is 1312358389. The next prime is 1312358429. The reversal of 1312358400 is 48532131.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 9437184 + 1302921216 = 3072^2 + 36096^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 14745556 + ... + 14745644.

Almost surely, 2^1312358400 is an apocalyptic number.

1312358400 is a gapful number since it is divisible by the number (10) 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 1312358400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376972585).

1312358400 is an abundant number, since it is smaller than the sum of its proper divisors (3441586770).

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

1312358400 is an frugal number, since it uses more digits than its factorization.

1312358400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1312358400 is about 36226.4875470974. The cubic root of 1312358400 is about 1094.8404095934.

The spelling of 1312358400 in words is "one billion, three hundred twelve million, three hundred fifty-eight thousand, four hundred".