407974944 has 48 divisors (see below), whose sum is σ = 1153317312. Its totient is φ = 125530368.

The previous prime is 407974937. The next prime is 407974951. The reversal of 407974944 is 449479704.

It is an interprime number because it is at equal distance from previous prime (407974937) and next prime (407974951).

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

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 407974893 and 407974902.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162204 + ... + 164699.

It is an arithmetic number, because the mean of its divisors is an integer number (24027444).

Almost surely, 2^407974944 is an apocalyptic number.

It is an amenable number.

407974944 is an abundant number, since it is smaller than the sum of its proper divisors (745342368).

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

407974944 is a wasteful number, since it uses less digits than its factorization.

407974944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326929 (or 326921 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 407974944 is about 20198.3896387806. The cubic root of 407974944 is about 741.6707707947.

The spelling of 407974944 in words is "four hundred seven million, nine hundred seventy-four thousand, nine hundred forty-four".