407464992 has 240 divisors, whose sum is σ = 1352381184. Its totient is φ = 119232000.

The previous prime is 407464969. The next prime is 407465059. The reversal of 407464992 is 299464704.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 883642 + ... + 884102.

Almost surely, 2^407464992 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 407464992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (676190592).

407464992 is an abundant number, since it is smaller than the sum of its proper divisors (944916192).

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

407464992 is a wasteful number, since it uses less digits than its factorization.

407464992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 407464992 is about 20185.7621109534. The cubic root of 407464992 is about 741.3616225712.

The spelling of 407464992 in words is "four hundred seven million, four hundred sixty-four thousand, nine hundred ninety-two".