1357242480 has 360 divisors, whose sum is σ = 5204677296. Its totient is φ = 328458240.

The previous prime is 1357242479. The next prime is 1357242529. The reversal of 1357242480 is 842427531.

It is a happy number.

1357242480 is a `hidden beast` number, since 1 + 3 + 572 + 4 + 2 + 4 + 80 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2351952 + ... + 2352528.

Almost surely, 2^1357242480 is an apocalyptic number.

1357242480 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 1357242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2602338648).

1357242480 is an abundant number, since it is smaller than the sum of its proper divisors (3847434816).

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

1357242480 is a wasteful number, since it uses less digits than its factorization.

1357242480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 627 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 1357242480 is about 36840.7719788823. The cubic root of 1357242480 is about 1107.1823349602.

The spelling of 1357242480 in words is "one billion, three hundred fifty-seven million, two hundred forty-two thousand, four hundred eighty".