1357398720 has 168 divisors, whose sum is σ = 4682526576. Its totient is φ = 360916992.

The previous prime is 1357398709. The next prime is 1357398799. The reversal of 1357398720 is 278937531.

It is a happy number.

1357398720 is a `hidden beast` number, since 1 + 3 + 573 + 9 + 8 + 72 + 0 = 666.

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 23 ways as a sum of consecutive naturals, for example, 1851474 + ... + 1852206.

It is an arithmetic number, because the mean of its divisors is an integer number (27872182).

Almost surely, 2^1357398720 is an apocalyptic number.

1357398720 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 1357398720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2341263288).

1357398720 is an abundant number, since it is smaller than the sum of its proper divisors (3325127856).

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

1357398720 is a wasteful number, since it uses less digits than its factorization.

1357398720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The square root of 1357398720 is about 36842.8923945990. The cubic root of 1357398720 is about 1107.2248180422.

The spelling of 1357398720 in words is "one billion, three hundred fifty-seven million, three hundred ninety-eight thousand, seven hundred twenty".