406914480 has 120 divisors (see below), whose sum is σ = 1561795872. Its totient is φ = 93007872.

The previous prime is 406914449. The next prime is 406914503. The reversal of 406914480 is 84419604.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35329 + ... + 45408.

Almost surely, 2^406914480 is an apocalyptic number.

406914480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406914480 is an abundant number, since it is smaller than the sum of its proper divisors (1154881392).

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

406914480 is a wasteful number, since it uses less digits than its factorization.

406914480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80763 (or 80754 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 406914480 is about 20172.1213559705. The cubic root of 406914480 is about 741.0275959935.

The spelling of 406914480 in words is "four hundred six million, nine hundred fourteen thousand, four hundred eighty".