407438768 has 40 divisors (see below), whose sum is σ = 864225936. Its totient is φ = 184544000.

The previous prime is 407438761. The next prime is 407438791. The reversal of 407438768 is 867834704.

It is not an unprimeable number, because it can be changed into a prime (407438761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47618 + ... + 55518.

Almost surely, 2^407438768 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 407438768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432112968).

407438768 is an abundant number, since it is smaller than the sum of its proper divisors (456787168).

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

407438768 is a wasteful number, since it uses less digits than its factorization.

407438768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8213 (or 8207 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 47.

The square root of 407438768 is about 20185.1125337463. The cubic root of 407438768 is about 741.3457178230.

The spelling of 407438768 in words is "four hundred seven million, four hundred thirty-eight thousand, seven hundred sixty-eight".