407606772 has 48 divisors (see below), whose sum is σ = 1003060800. Its totient is φ = 128471040.

The previous prime is 407606747. The next prime is 407606777. The reversal of 407606772 is 277606704.

It is a happy number.

It is a super-2 number, since 2×407606772² = 332286561160519968, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 407606772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407606777) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144754 + ... + 147542.

It is an arithmetic number, because the mean of its divisors is an integer number (20897100).

Almost surely, 2^407606772 is an apocalyptic number.

It is an amenable number.

407606772 is an abundant number, since it is smaller than the sum of its proper divisors (595454028).

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

407606772 is a wasteful number, since it uses less digits than its factorization.

407606772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3456 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 98784, while the sum is 39.

The square root of 407606772 is about 20189.2736867872. The cubic root of 407606772 is about 741.4475997422.

The spelling of 407606772 in words is "four hundred seven million, six hundred six thousand, seven hundred seventy-two".