312486854400 has 540 divisors, whose sum is σ = 1320479654032. Its totient is φ = 71424737280.

The previous prime is 312486854387. The next prime is 312486854413. The reversal of 312486854400 is 4458684213.

312486854400 is a `hidden beast` number, since 3 + 1 + 2 + 48 + 68 + 544 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (312486854387) and next prime (312486854413).

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 3585744 + ... + 3671856.

Almost surely, 2^312486854400 is an apocalyptic number.

312486854400 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 312486854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660239827016).

312486854400 is an abundant number, since it is smaller than the sum of its proper divisors (1007992799632).

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

312486854400 is an equidigital number, since it uses as much as digits as its factorization.

312486854400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86158 (or 86130 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 312486854400 in words is "three hundred twelve billion, four hundred eighty-six million, eight hundred fifty-four thousand, four hundred".