413364240 has 120 divisors (see below), whose sum is σ = 1392768000. Its totient is φ = 109869312.

The previous prime is 413364227. The next prime is 413364241. The reversal of 413364240 is 42463314.

413364240 is a `hidden beast` number, since 4 + 13 + 3 + 642 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (413364241) 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, 275011 + ... + 276509.

It is an arithmetic number, because the mean of its divisors is an integer number (11606400).

Almost surely, 2^413364240 is an apocalyptic number.

413364240 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 413364240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (696384000).

413364240 is an abundant number, since it is smaller than the sum of its proper divisors (979403760).

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

413364240 is a wasteful number, since it uses less digits than its factorization.

413364240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1892 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 413364240 is about 20331.3609972377. The cubic root of 413364240 is about 744.9222866853.

The spelling of 413364240 in words is "four hundred thirteen million, three hundred sixty-four thousand, two hundred forty".