1357457400 has 384 divisors, whose sum is σ = 5134046400. Its totient is φ = 327628800.

The previous prime is 1357457399. The next prime is 1357457417. The reversal of 1357457400 is 47547531.

It is a happy number.

1357457400 is a `hidden beast` number, since 13 + 5 + 74 + 574 + 0 + 0 = 666.

1357457400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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, 4282042 + ... + 4282358.

Almost surely, 2^1357457400 is an apocalyptic number.

1357457400 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 1357457400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567023200).

1357457400 is an abundant number, since it is smaller than the sum of its proper divisors (3776589000).

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

1357457400 is a wasteful number, since it uses less digits than its factorization.

1357457400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 1357457400 is about 36843.6887404071. The cubic root of 1357457400 is about 1107.2407728276.

The spelling of 1357457400 in words is "one billion, three hundred fifty-seven million, four hundred fifty-seven thousand, four hundred".