315055440 has 320 divisors, whose sum is σ = 1262776320. Its totient is φ = 70709760.

The previous prime is 315055427. The next prime is 315055463. The reversal of 315055440 is 44550513.

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 63 ways as a sum of consecutive naturals, for example, 1012885 + ... + 1013195.

It is an arithmetic number, because the mean of its divisors is an integer number (3946176).

Almost surely, 2^315055440 is an apocalyptic number.

315055440 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 315055440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631388160).

315055440 is an abundant number, since it is smaller than the sum of its proper divisors (947720880).

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

315055440 is a wasteful number, since it uses less digits than its factorization.

315055440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 315055440 is about 17749.8011256465. The cubic root of 315055440 is about 680.4491265942.

The spelling of 315055440 in words is "three hundred fifteen million, fifty-five thousand, four hundred forty".