406926960 has 160 divisors (see below), whose sum is σ = 1457263872. Its totient is φ = 92835840.

The previous prime is 406926959. The next prime is 406926991. The reversal of 406926960 is 69629604.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 40347 + ... + 49413.

Almost surely, 2^406926960 is an apocalyptic number.

406926960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406926960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728631936).

406926960 is an abundant number, since it is smaller than the sum of its proper divisors (1050336912).

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

406926960 is a wasteful number, since it uses less digits than its factorization.

406926960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9111 (or 9105 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 42.

The square root of 406926960 is about 20172.4306914164. The cubic root of 406926960 is about 741.0351716474.

The spelling of 406926960 in words is "four hundred six million, nine hundred twenty-six thousand, nine hundred sixty".