406072880 has 40 divisors (see below), whose sum is σ = 999659232. Its totient is φ = 152873984.

The previous prime is 406072873. The next prime is 406072907. The reversal of 406072880 is 88270604.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 406072880.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 147932 + ... + 150651.

Almost surely, 2^406072880 is an apocalyptic number.

406072880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406072880 is an abundant number, since it is smaller than the sum of its proper divisors (593586352).

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

406072880 is a wasteful number, since it uses less digits than its factorization.

406072880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298613 (or 298607 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 406072880 is about 20151.2500852925. The cubic root of 406072880 is about 740.5163671369.

The spelling of 406072880 in words is "four hundred six million, seventy-two thousand, eight hundred eighty".