407070832 has 90 divisors (see below), whose sum is σ = 939605784. Its totient is φ = 170331840.

The previous prime is 407070799. The next prime is 407070847. The reversal of 407070832 is 238070704.

It is a junction number, because it is equal to n+sod(n) for n = 407070794 and 407070803.

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 17 ways as a sum of consecutive naturals, for example, 3952093 + ... + 3952195.

Almost surely, 2^407070832 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 407070832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469802892).

407070832 is an abundant number, since it is smaller than the sum of its proper divisors (532534952).

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

407070832 is a wasteful number, since it uses less digits than its factorization.

407070832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The square root of 407070832 is about 20175.9964314033. The cubic root of 407070832 is about 741.1224941569.

The spelling of 407070832 in words is "four hundred seven million, seventy thousand, eight hundred thirty-two".