407479296 has 132 divisors (see below), whose sum is σ = 1263866928. Its totient is φ = 116379648.

The previous prime is 407479277. The next prime is 407479297. The reversal of 407479296 is 692974704.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (407479297) 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, 149175 + ... + 151881.

Almost surely, 2^407479296 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 407479296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631933464).

407479296 is an abundant number, since it is smaller than the sum of its proper divisors (856387632).

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

407479296 is a wasteful number, since it uses less digits than its factorization.

407479296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 48.

The square root of 407479296 is about 20186.1164169832. The cubic root of 407479296 is about 741.3702976008.

The spelling of 407479296 in words is "four hundred seven million, four hundred seventy-nine thousand, two hundred ninety-six".