407070576 has 160 divisors (see below), whose sum is σ = 1349913600. Its totient is φ = 116075520.

The previous prime is 407070571. The next prime is 407070577. The reversal of 407070576 is 675070704.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 407070576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407070571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 78265 + ... + 83303.

It is an arithmetic number, because the mean of its divisors is an integer number (8436960).

Almost surely, 2^407070576 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 407070576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (674956800).

407070576 is an abundant number, since it is smaller than the sum of its proper divisors (942843024).

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

407070576 is a wasteful number, since it uses less digits than its factorization.

407070576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5084 (or 5072 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 36.

The square root of 407070576 is about 20175.9900872299. The cubic root of 407070576 is about 741.1223387970.

The spelling of 407070576 in words is "four hundred seven million, seventy thousand, five hundred seventy-six".