1357440 has 128 divisors (see below), whose sum is σ = 4993920. Its totient is φ = 307200.

The previous prime is 1357429. The next prime is 1357453. The reversal of 1357440 is 447531.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×1357440³ = 7503833381732352000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 1357440.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13390 + ... + 13490.

It is an arithmetic number, because the mean of its divisors is an integer number (39015).

2^1357440 is an apocalyptic number.

1357440 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 1357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2496960).

1357440 is an abundant number, since it is smaller than the sum of its proper divisors (3636480).

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

1357440 is a wasteful number, since it uses less digits than its factorization.

1357440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 1357440 is about 1165.0922710241. The cubic root of 1357440 is about 110.7236041906.

1357440 divided by its product of nonzero digits (1680) gives a palindrome (808).

Subtracting from 1357440 its reverse (447531), we obtain a palindrome (909909).

The spelling of 1357440 in words is "one million, three hundred fifty-seven thousand, four hundred forty".