40457560 has 96 divisors (see below), whose sum is σ = 107921520. Its totient is φ = 13559040.

The previous prime is 40457551. The next prime is 40457567. The reversal of 40457560 is 6575404.

It is a happy number.

It is a super-2 number, since 2×40457560² = 3273628322307200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40457567) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62599 + ... + 63241.

Almost surely, 2^40457560 is an apocalyptic number.

40457560 is a gapful number since it is divisible by the number (40) 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 40457560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53960760).

40457560 is an abundant number, since it is smaller than the sum of its proper divisors (67463960).

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

40457560 is a wasteful number, since it uses less digits than its factorization.

40457560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 674 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 31.

The square root of 40457560 is about 6360.6257553797. The cubic root of 40457560 is about 343.2942760945.

The spelling of 40457560 in words is "forty million, four hundred fifty-seven thousand, five hundred sixty".