413944380 has 72 divisors (see below), whose sum is σ = 1257302592. Its totient is φ = 110238336.

The previous prime is 413944367. The next prime is 413944381. The reversal of 413944380 is 83449314.

413944380 is a `hidden beast` number, since 4 + 139 + 443 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413944381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 237994 + ... + 239726.

It is an arithmetic number, because the mean of its divisors is an integer number (17462536).

Almost surely, 2^413944380 is an apocalyptic number.

It is an amenable number.

413944380 is an abundant number, since it is smaller than the sum of its proper divisors (843358212).

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

413944380 is a wasteful number, since it uses less digits than its factorization.

413944380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3075 (or 3070 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 413944380 is about 20345.6231165330. The cubic root of 413944380 is about 745.2706132203.

The spelling of 413944380 in words is "four hundred thirteen million, nine hundred forty-four thousand, three hundred eighty".