312480000 has 540 divisors, whose sum is σ = 1328174848. Its totient is φ = 69120000.

The previous prime is 312479987. The next prime is 312480037. The reversal of 312480000 is 84213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10079985 + ... + 10080015.

Almost surely, 2^312480000 is an apocalyptic number.

312480000 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 312480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664087424).

312480000 is an abundant number, since it is smaller than the sum of its proper divisors (1015694848).

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

312480000 is an equidigital number, since it uses as much as digits as its factorization.

312480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 312480000 is about 17677.1038351875. The cubic root of 312480000 is about 678.5899269459.

The spelling of 312480000 in words is "three hundred twelve million, four hundred eighty thousand".