407946456 has 96 divisors (see below), whose sum is σ = 1153348560. Its totient is φ = 135084672.

The previous prime is 407946443. The next prime is 407946463. The reversal of 407946456 is 654649704.

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 23 ways as a sum of consecutive naturals, for example, 335706 + ... + 336918.

Almost surely, 2^407946456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 407946456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576674280).

407946456 is an abundant number, since it is smaller than the sum of its proper divisors (745402104).

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

407946456 is a wasteful number, since it uses less digits than its factorization.

407946456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1407 (or 1391 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 407946456 is about 20197.6844217351. The cubic root of 407946456 is about 741.6535073091.

The spelling of 407946456 in words is "four hundred seven million, nine hundred forty-six thousand, four hundred fifty-six".