413494944 has 48 divisors (see below), whose sum is σ = 1149277248. Its totient is φ = 129723392.

The previous prime is 413494903. The next prime is 413494969. The reversal of 413494944 is 449494314.

It is a tau number, because it is divible by the number of its divisors (48).

It is a junction number, because it is equal to n+sod(n) for n = 413494896 and 413494905.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 125052 + ... + 128315.

It is an arithmetic number, because the mean of its divisors is an integer number (23943276).

Almost surely, 2^413494944 is an apocalyptic number.

It is an amenable number.

413494944 is an abundant number, since it is smaller than the sum of its proper divisors (735782304).

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

413494944 is a wasteful number, since it uses less digits than its factorization.

413494944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253397 (or 253389 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 413494944 is about 20334.5750877662. The cubic root of 413494944 is about 745.0007921557. Note that the first 3 decimals are identical.

The spelling of 413494944 in words is "four hundred thirteen million, four hundred ninety-four thousand, nine hundred forty-four".