1357406400 has 336 divisors, whose sum is σ = 5170383360. Its totient is φ = 305356800.

The previous prime is 1357406381. The next prime is 1357406443. The reversal of 1357406400 is 46047531.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2385316 + ... + 2385884.

Almost surely, 2^1357406400 is an apocalyptic number.

1357406400 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 1357406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2585191680).

1357406400 is an abundant number, since it is smaller than the sum of its proper divisors (3812976960).

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

1357406400 is a wasteful number, since it uses less digits than its factorization.

1357406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 672 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 1357406400 is about 36842.9966207962. The cubic root of 1357406400 is about 1107.2269062202.

The spelling of 1357406400 in words is "one billion, three hundred fifty-seven million, four hundred six thousand, four hundred".