1557294480 has 360 divisors, whose sum is σ = 6253441272. Its totient is φ = 346042368.

The previous prime is 1557294463. The next prime is 1557294589. The reversal of 1557294480 is 844927551.

1557294480 is a `hidden beast` number, since 1 + 557 + 2 + 94 + 4 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 433972224 + 1123322256 = 20832^2 + 33516^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1304764 + ... + 1305956.

Almost surely, 2^1557294480 is an apocalyptic number.

1557294480 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 1557294480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3126720636).

1557294480 is an abundant number, since it is smaller than the sum of its proper divisors (4696146792).

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

1557294480 is a wasteful number, since it uses less digits than its factorization.

1557294480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1263 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 1557294480 is about 39462.5706207794. The cubic root of 1557294480 is about 1159.1071409198.

The spelling of 1557294480 in words is "one billion, five hundred fifty-seven million, two hundred ninety-four thousand, four hundred eighty".