413860320 has 96 divisors (see below), whose sum is σ = 1448526240. Its totient is φ = 110361600.

The previous prime is 413860319. The next prime is 413860331. The reversal of 413860320 is 23068314.

It is a happy number.

413860320 is a `hidden beast` number, since 4 + 1 + 38 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43581 + ... + 52220.

It is an arithmetic number, because the mean of its divisors is an integer number (15088815).

Almost surely, 2^413860320 is an apocalyptic number.

413860320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

413860320 is an abundant number, since it is smaller than the sum of its proper divisors (1034665920).

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

413860320 is a wasteful number, since it uses less digits than its factorization.

413860320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95825 (or 95811 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 413860320 is about 20343.5572110681. The cubic root of 413860320 is about 745.2201622484.

The spelling of 413860320 in words is "four hundred thirteen million, eight hundred sixty thousand, three hundred twenty".