407674720 has 24 divisors (see below), whose sum is σ = 963131904. Its totient is φ = 163069824.

The previous prime is 407674693. The next prime is 407674727. The reversal of 407674720 is 27476704.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 407674720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (407674727) 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 3 ways as a sum of consecutive naturals, for example, 1273824 + ... + 1274143.

It is an arithmetic number, because the mean of its divisors is an integer number (40130496).

Almost surely, 2^407674720 is an apocalyptic number.

407674720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

407674720 is an abundant number, since it is smaller than the sum of its proper divisors (555457184).

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

407674720 is a wasteful number, since it uses less digits than its factorization.

407674720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547982 (or 2547974 counting only the distinct ones).

The product of its (nonzero) digits is 65856, while the sum is 37.

The square root of 407674720 is about 20190.9563914144. The cubic root of 407674720 is about 741.4887971951.

The spelling of 407674720 in words is "four hundred seven million, six hundred seventy-four thousand, seven hundred twenty".