1315424880 has 480 divisors, whose sum is σ = 5699635200. Its totient is φ = 272954880.

The previous prime is 1315424867. The next prime is 1315424939. The reversal of 1315424880 is 884245131.

1315424880 is a `hidden beast` number, since 1 + 31 + 542 + 4 + 8 + 80 = 666.

1315424880 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1315424880² = 3460685229846028800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1829161 + ... + 1829879.

It is an arithmetic number, because the mean of its divisors is an integer number (11874240).

Almost surely, 2^1315424880 is an apocalyptic number.

1315424880 is a gapful number since it is divisible by the number (10) 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 1315424880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2849817600).

1315424880 is an abundant number, since it is smaller than the sum of its proper divisors (4384210320).

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

1315424880 is a wasteful number, since it uses less digits than its factorization.

1315424880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 1315424880 is about 36268.7865801987. The cubic root of 1315424880 is about 1095.6924874746.

The spelling of 1315424880 in words is "one billion, three hundred fifteen million, four hundred twenty-four thousand, eight hundred eighty".