406914080 has 48 divisors (see below), whose sum is σ = 994495320. Its totient is φ = 157151232.

The previous prime is 406914073. The next prime is 406914143. The reversal of 406914080 is 80419604.

It can be written as a sum of positive squares in 4 ways, for example, as 403688464 + 3225616 = 20092^2 + 1796^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39209 + ... + 48488.

Almost surely, 2^406914080 is an apocalyptic number.

406914080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406914080 is an abundant number, since it is smaller than the sum of its proper divisors (587581240).

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

406914080 is a wasteful number, since it uses less digits than its factorization.

406914080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87741 (or 87733 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 406914080 is about 20172.1114412944. Note that the first 3 decimals coincide. The cubic root of 406914080 is about 741.0273531815.

The spelling of 406914080 in words is "four hundred six million, nine hundred fourteen thousand, eighty".