312505440 has 192 divisors, whose sum is σ = 1078805952. Its totient is φ = 75571200.

The previous prime is 312505409. The next prime is 312505463. The reversal of 312505440 is 44505213.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 312505440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 380230 + ... + 381050.

It is an arithmetic number, because the mean of its divisors is an integer number (5618781).

Almost surely, 2^312505440 is an apocalyptic number.

312505440 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 312505440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539402976).

312505440 is an abundant number, since it is smaller than the sum of its proper divisors (766300512).

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

312505440 is a wasteful number, since it uses less digits than its factorization.

312505440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 913 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 312505440 is about 17677.8233954297. The cubic root of 312505440 is about 678.6083418410.

The spelling of 312505440 in words is "three hundred twelve million, five hundred five thousand, four hundred forty".