312401880 has 384 divisors, whose sum is σ = 1258329600. Its totient is φ = 67495680.

The previous prime is 312401863. The next prime is 312401899. The reversal of 312401880 is 88104213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7265139 + ... + 7265181.

It is an arithmetic number, because the mean of its divisors is an integer number (3276900).

Almost surely, 2^312401880 is an apocalyptic number.

312401880 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 312401880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (629164800).

312401880 is an abundant number, since it is smaller than the sum of its proper divisors (945927720).

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

312401880 is a wasteful number, since it uses less digits than its factorization.

312401880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 312401880 is about 17674.8940590884. The cubic root of 312401880 is about 678.5333730723.

The spelling of 312401880 in words is "three hundred twelve million, four hundred one thousand, eight hundred eighty".