407080704 has 144 divisors (see below), whose sum is σ = 1127159712. Its totient is φ = 130351104.

The previous prime is 407080693. The next prime is 407080717.

407080704 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2971324 + ... + 2971460.

It is an arithmetic number, because the mean of its divisors is an integer number (7827498).

Almost surely, 2^407080704 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 407080704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563579856).

407080704 is an abundant number, since it is smaller than the sum of its proper divisors (720079008).

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

407080704 is a wasteful number, since it uses less digits than its factorization.

407080704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 30.

The square root of 407080704 is about 20176.2410770688. The cubic root of 407080704 is about 741.1284851717.

The spelling of 407080704 in words is "four hundred seven million, eighty thousand, seven hundred four".