312561450 has 96 divisors (see below), whose sum is σ = 882443520. Its totient is φ = 81302400.

The previous prime is 312561427. The next prime is 312561461. The reversal of 312561450 is 54165213.

It is a super-2 number, since 2×312561450² = 195389320052205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52527 + ... + 58173.

It is an arithmetic number, because the mean of its divisors is an integer number (9192120).

Almost surely, 2^312561450 is an apocalyptic number.

312561450 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 312561450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (441221760).

312561450 is an abundant number, since it is smaller than the sum of its proper divisors (569882070).

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

312561450 is a wasteful number, since it uses less digits than its factorization.

312561450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5709 (or 5698 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 312561450 is about 17679.4075126968. The cubic root of 312561450 is about 678.6488814902.

The spelling of 312561450 in words is "three hundred twelve million, five hundred sixty-one thousand, four hundred fifty".