312363480 has 256 divisors, whose sum is σ = 1117670400. Its totient is φ = 68843520.

The previous prime is 312363479. The next prime is 312363511. The reversal of 312363480 is 84363213.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1870357 + ... + 1870523.

It is an arithmetic number, because the mean of its divisors is an integer number (4365900).

Almost surely, 2^312363480 is an apocalyptic number.

312363480 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 312363480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558835200).

312363480 is an abundant number, since it is smaller than the sum of its proper divisors (805306920).

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

312363480 is a wasteful number, since it uses less digits than its factorization.

312363480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 312363480 is about 17673.8077391376. The cubic root of 312363480 is about 678.5055704769.

It can be divided in two parts, 31236 and 3480, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 312363480 in words is "three hundred twelve million, three hundred sixty-three thousand, four hundred eighty".