413240640 has 112 divisors (see below), whose sum is σ = 1344168000. Its totient is φ = 107499520.

The previous prime is 413240603. The next prime is 413240687. The reversal of 413240640 is 46042314.

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 413240640.

It is a congruent number.

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, 34111 + ... + 44609.

It is an arithmetic number, because the mean of its divisors is an integer number (12001500).

Almost surely, 2^413240640 is an apocalyptic number.

413240640 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 413240640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672084000).

413240640 is an abundant number, since it is smaller than the sum of its proper divisors (930927360).

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

413240640 is a wasteful number, since it uses less digits than its factorization.

413240640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10560 (or 10550 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 413240640 is about 20328.3211308755. The cubic root of 413240640 is about 744.8480329045.

Adding to 413240640 its reverse (46042314), we get a palindrome (459282954).

The spelling of 413240640 in words is "four hundred thirteen million, two hundred forty thousand, six hundred forty".