312291840 has 320 divisors, whose sum is σ = 1179281664. Its totient is φ = 69009408.

The previous prime is 312291821. The next prime is 312291841. The reversal of 312291840 is 48192213.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a junction number, because it is equal to n+sod(n) for n = 312291798 and 312291807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312291841) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1989042 + ... + 1989198.

Almost surely, 2^312291840 is an apocalyptic number.

312291840 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 312291840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (589640832).

312291840 is an abundant number, since it is smaller than the sum of its proper divisors (866989824).

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

312291840 is a wasteful number, since it uses less digits than its factorization.

312291840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 312291840 is about 17671.7808949749. The cubic root of 312291840 is about 678.4536951685.

The spelling of 312291840 in words is "three hundred twelve million, two hundred ninety-one thousand, eight hundred forty".