1357412256 has 240 divisors, whose sum is σ = 4183929288. Its totient is φ = 431308800.

The previous prime is 1357412237. The next prime is 1357412263. The reversal of 1357412256 is 6522147531.

1357412256 is a `hidden beast` number, since 13 + 574 + 1 + 22 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1123322256 + 234090000 = 33516^2 + 15300^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 1357412256.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5632296 + ... + 5632536.

Almost surely, 2^1357412256 is an apocalyptic number.

1357412256 is a gapful number since it is divisible by the number (16) 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 1357412256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091964644).

1357412256 is an abundant number, since it is smaller than the sum of its proper divisors (2826517032).

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

1357412256 is a wasteful number, since it uses less digits than its factorization.

1357412256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 357 (or 340 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 1357412256 is about 36843.0760930734. The cubic root of 1357412256 is about 1107.2284984506.

Adding to 1357412256 its reverse (6522147531), we get a palindrome (7879559787).

The spelling of 1357412256 in words is "one billion, three hundred fifty-seven million, four hundred twelve thousand, two hundred fifty-six".