312530400 has 720 divisors, whose sum is σ = 1429221024. Its totient is φ = 64696320.

The previous prime is 312530377. The next prime is 312530443. The reversal of 312530400 is 4035213.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5896774 + ... + 5896826.

Almost surely, 2^312530400 is an apocalyptic number.

312530400 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 312530400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714610512).

312530400 is an abundant number, since it is smaller than the sum of its proper divisors (1116690624).

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

312530400 is a wasteful number, since it uses less digits than its factorization.

312530400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 312530400 is about 17678.5293505993. The cubic root of 312530400 is about 678.6264083140.

Adding to 312530400 its reverse (4035213), we get a palindrome (316565613).

The spelling of 312530400 in words is "three hundred twelve million, five hundred thirty thousand, four hundred".