312385920 has 256 divisors, whose sum is σ = 1242017280. Its totient is φ = 64880640.

The previous prime is 312385903. The next prime is 312385921. The reversal of 312385920 is 29583213.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312385921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146784 + ... + 148896.

It is an arithmetic number, because the mean of its divisors is an integer number (4851630).

Almost surely, 2^312385920 is an apocalyptic number.

312385920 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 312385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621008640).

312385920 is an abundant number, since it is smaller than the sum of its proper divisors (929631360).

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

312385920 is a wasteful number, since it uses less digits than its factorization.

312385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2153 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 312385920 is about 17674.4425654672. The cubic root of 312385920 is about 678.5218178953.

The spelling of 312385920 in words is "three hundred twelve million, three hundred eighty-five thousand, nine hundred twenty".