312473894400 has 420 divisors, whose sum is σ = 1160771403792. Its totient is φ = 83323883520.

The previous prime is 312473894351. The next prime is 312473894401. The reversal of 312473894400 is 4498374213.

312473894400 is a `hidden beast` number, since 3 + 124 + 7 + 3 + 89 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312473894401) by changing a digit.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 9314457 + ... + 9347943.

Almost surely, 2^312473894400 is an apocalyptic number.

312473894400 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 312473894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580385701896).

312473894400 is an abundant number, since it is smaller than the sum of its proper divisors (848297509392).

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

312473894400 is an frugal number, since it uses more digits than its factorization.

312473894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33533 (or 33497 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 312473894400 in words is "three hundred twelve billion, four hundred seventy-three million, eight hundred ninety-four thousand, four hundred".