312350400 has 252 divisors, whose sum is σ = 1125982000. Its totient is φ = 82114560.

The previous prime is 312350393. The next prime is 312350407. The reversal of 312350400 is 4053213.

312350400 is a `hidden beast` number, since 31 + 235 + 0 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (312350393) and next prime (312350407).

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

It is not an unprimeable number, because it can be changed into a prime (312350407) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1569501 + ... + 1569699.

Almost surely, 2^312350400 is an apocalyptic number.

312350400 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 312350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562991000).

312350400 is an abundant number, since it is smaller than the sum of its proper divisors (813631600).

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

312350400 is a wasteful number, since it uses less digits than its factorization.

312350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 318 counting only the distinct ones).

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

The square root of 312350400 is about 17673.4376961586. The cubic root of 312350400 is about 678.4960996976.

The spelling of 312350400 in words is "three hundred twelve million, three hundred fifty thousand, four hundred".