407964050 has 24 divisors (see below), whose sum is σ = 817184676. Its totient is φ = 150632640.

The previous prime is 407964043. The next prime is 407964059. The reversal of 407964050 is 50469704.

It can be written as a sum of positive squares in 6 ways, for example, as 140019889 + 267944161 = 11833^2 + 16369^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 407964050.

It is not an unprimeable number, because it can be changed into a prime (407964059) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313169 + ... + 314468.

Almost surely, 2^407964050 is an apocalyptic number.

407964050 is an abundant number, since it is smaller than the sum of its proper divisors (409220626).

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

407964050 is a wasteful number, since it uses less digits than its factorization.

407964050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 627662 (or 627657 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 407964050 is about 20198.1199620163. The cubic root of 407964050 is about 741.6641692183.

The spelling of 407964050 in words is "four hundred seven million, nine hundred sixty-four thousand, fifty".