407264772 has 96 divisors (see below), whose sum is σ = 1072512000. Its totient is φ = 119636352.

The previous prime is 407264771. The next prime is 407264779. The reversal of 407264772 is 277462704.

It is a self number, because there is not a number n which added to its sum of digits gives 407264772.

It is not an unprimeable number, because it can be changed into a prime (407264771) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 192979 + ... + 195077.

It is an arithmetic number, because the mean of its divisors is an integer number (11172000).

Almost surely, 2^407264772 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 407264772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536256000).

407264772 is an abundant number, since it is smaller than the sum of its proper divisors (665247228).

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

407264772 is a wasteful number, since it uses less digits than its factorization.

407264772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2185 (or 2183 counting only the distinct ones).

The product of its (nonzero) digits is 131712, while the sum is 39.

The square root of 407264772 is about 20180.8020653293. The cubic root of 407264772 is about 741.2401726746.

The spelling of 407264772 in words is "four hundred seven million, two hundred sixty-four thousand, seven hundred seventy-two".