1357530240 has 512 divisors, whose sum is σ = 5287680000. Its totient is φ = 291962880.

The previous prime is 1357530217. The next prime is 1357530241. The reversal of 1357530240 is 420357531.

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

It is a junction number, because it is equal to n+sod(n) for n = 1357530198 and 1357530207.

It is not an unprimeable number, because it can be changed into a prime (1357530241) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6821661 + ... + 6821859.

It is an arithmetic number, because the mean of its divisors is an integer number (10327500).

Almost surely, 2^1357530240 is an apocalyptic number.

1357530240 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 1357530240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2643840000).

1357530240 is an abundant number, since it is smaller than the sum of its proper divisors (3930149760).

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

1357530240 is a wasteful number, since it uses less digits than its factorization.

1357530240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 30.

The square root of 1357530240 is about 36844.6772275182. The cubic root of 1357530240 is about 1107.2605770035.

Adding to 1357530240 its reverse (420357531), we get a palindrome (1777887771).

The spelling of 1357530240 in words is "one billion, three hundred fifty-seven million, five hundred thirty thousand, two hundred forty".