407416944 has 40 divisors (see below), whose sum is σ = 1148176512. Its totient is φ = 123459520.

The previous prime is 407416939. The next prime is 407416949. The reversal of 407416944 is 449614704.

It is an interprime number because it is at equal distance from previous prime (407416939) and next prime (407416949).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407416949) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 385284 + ... + 386339.

Almost surely, 2^407416944 is an apocalyptic number.

407416944 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

407416944 is an abundant number, since it is smaller than the sum of its proper divisors (740759568).

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

407416944 is a wasteful number, since it uses less digits than its factorization.

407416944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 771645 (or 771639 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 407416944 is about 20184.5719300658. The cubic root of 407416944 is about 741.3324811364.

The spelling of 407416944 in words is "four hundred seven million, four hundred sixteen thousand, nine hundred forty-four".