1457640 has 48 divisors (see below), whose sum is σ = 4738500. Its totient is φ = 388608.

The previous prime is 1457639. The next prime is 1457647. The reversal of 1457640 is 467541.

1457640 is a `hidden beast` number, since 14 + 5 + 7 + 640 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1397124 + 60516 = 1182^2 + 246^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1457647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1665 + ... + 2384.

2^1457640 is an apocalyptic number.

1457640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1457640 is an abundant number, since it is smaller than the sum of its proper divisors (3280860).

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

1457640 is a wasteful number, since it uses less digits than its factorization.

1457640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4066 (or 4059 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 1457640 is about 1207.3276274483. The cubic root of 1457640 is about 113.3835609738.

Subtracting from 1457640 its reverse (467541), we obtain a palindrome (990099).

The spelling of 1457640 in words is "one million, four hundred fifty-seven thousand, six hundred forty".