312540480 has 336 divisors, whose sum is σ = 1264798080. Its totient is φ = 69341184.

The previous prime is 312540479. The next prime is 312540493. The reversal of 312540480 is 84045213.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 745711 + ... + 746129.

It is an arithmetic number, because the mean of its divisors is an integer number (3764280).

Almost surely, 2^312540480 is an apocalyptic number.

312540480 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 312540480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632399040).

312540480 is an abundant number, since it is smaller than the sum of its proper divisors (952257600).

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

312540480 is a wasteful number, since it uses less digits than its factorization.

312540480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 312540480 is about 17678.8144398882. The cubic root of 312540480 is about 678.6337041170.

Adding to 312540480 its reverse (84045213), we get a palindrome (396585693).

The spelling of 312540480 in words is "three hundred twelve million, five hundred forty thousand, four hundred eighty".