413387240 has 64 divisors (see below), whose sum is σ = 1080466560. Its totient is φ = 139403520.

The previous prime is 413387213. The next prime is 413387267. The reversal of 413387240 is 42783314.

It is an interprime number because it is at equal distance from previous prime (413387213) and next prime (413387267).

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 413387197 and 413387206.

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, 4979 + ... + 29181.

It is an arithmetic number, because the mean of its divisors is an integer number (16882290).

Almost surely, 2^413387240 is an apocalyptic number.

413387240 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 413387240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (540233280).

413387240 is an abundant number, since it is smaller than the sum of its proper divisors (667079320).

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

413387240 is a wasteful number, since it uses less digits than its factorization.

413387240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24282 (or 24278 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 413387240 is about 20331.9266180065. The cubic root of 413387240 is about 744.9361025029.

The spelling of 413387240 in words is "four hundred thirteen million, three hundred eighty-seven thousand, two hundred forty".