406428880 has 80 divisors (see below), whose sum is σ = 1110178944. Its totient is φ = 136419840.

The previous prime is 406428863. The next prime is 406428899. The reversal of 406428880 is 88824604.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6324 + ... + 29203.

Almost surely, 2^406428880 is an apocalyptic number.

406428880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406428880 is an abundant number, since it is smaller than the sum of its proper divisors (703750064).

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

406428880 is a wasteful number, since it uses less digits than its factorization.

406428880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35564 (or 35558 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 406428880 is about 20160.0813490422. The cubic root of 406428880 is about 740.7327050067.

The spelling of 406428880 in words is "four hundred six million, four hundred twenty-eight thousand, eight hundred eighty".