407492992 has 64 divisors (see below), whose sum is σ = 863544240. Its totient is φ = 190873600.

The previous prime is 407492977. The next prime is 407493091. The reversal of 407492992 is 299294704.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×407492992² = 332101077058224128, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 872343 + ... + 872809.

Almost surely, 2^407492992 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 407492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431772120).

407492992 is an abundant number, since it is smaller than the sum of its proper divisors (456051248).

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

407492992 is a wasteful number, since it uses less digits than its factorization.

407492992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 407492992 is about 20186.4556571975. The cubic root of 407492992 is about 741.3786037028.

The spelling of 407492992 in words is "four hundred seven million, four hundred ninety-two thousand, nine hundred ninety-two".