312465450 has 96 divisors (see below), whose sum is σ = 889943040. Its totient is φ = 71755200.

The previous prime is 312465409. The next prime is 312465487. The reversal of 312465450 is 54564213.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26367 + ... + 36333.

It is an arithmetic number, because the mean of its divisors is an integer number (9270240).

Almost surely, 2^312465450 is an apocalyptic number.

312465450 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 312465450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444971520).

312465450 is an abundant number, since it is smaller than the sum of its proper divisors (577477590).

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

312465450 is a wasteful number, since it uses less digits than its factorization.

312465450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10012 (or 10007 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 312465450 is about 17676.6922810802. The cubic root of 312465450 is about 678.5793943927.

The spelling of 312465450 in words is "three hundred twelve million, four hundred sixty-five thousand, four hundred fifty".