413057040 has 160 divisors (see below), whose sum is σ = 1412159616. Its totient is φ = 99041280.

The previous prime is 413057033. The next prime is 413057059. The reversal of 413057040 is 40750314.

It is a super-2 number, since 2×413057040² = 341232236587123200, which contains 22 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 413057040.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 255274 + ... + 256886.

Almost surely, 2^413057040 is an apocalyptic number.

413057040 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 413057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (706079808).

413057040 is an abundant number, since it is smaller than the sum of its proper divisors (999102576).

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

413057040 is a wasteful number, since it uses less digits than its factorization.

413057040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1731 counting only the distinct ones).

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

The square root of 413057040 is about 20323.8047619042. The cubic root of 413057040 is about 744.7377062622.

The spelling of 413057040 in words is "four hundred thirteen million, fifty-seven thousand, forty".