407926272 has 160 divisors (see below), whose sum is σ = 1209922560. Its totient is φ = 121282560.

The previous prime is 407926231. The next prime is 407926283. The reversal of 407926272 is 272629704.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 407926272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 618679 + ... + 619337.

It is an arithmetic number, because the mean of its divisors is an integer number (7562016).

Almost surely, 2^407926272 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 407926272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604961280).

407926272 is an abundant number, since it is smaller than the sum of its proper divisors (801996288).

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

407926272 is a wasteful number, since it uses less digits than its factorization.

407926272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 724 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 407926272 is about 20197.1847543166. The cubic root of 407926272 is about 741.6412754903.

The spelling of 407926272 in words is "four hundred seven million, nine hundred twenty-six thousand, two hundred seventy-two".