406855680 has 448 divisors, whose sum is σ = 1660843008. Its totient is φ = 82575360.

The previous prime is 406855643. The next prime is 406855697. The reversal of 406855680 is 86558604.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9461739 + ... + 9461781.

Almost surely, 2^406855680 is an apocalyptic number.

406855680 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 406855680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (830421504).

406855680 is an abundant number, since it is smaller than the sum of its proper divisors (1253987328).

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

406855680 is a wasteful number, since it uses less digits than its factorization.

406855680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 406855680 is about 20170.6638462892. The cubic root of 406855680 is about 740.9919009243.

It can be divided in two parts, 406 and 855680, that added together give a triangular number (856086 = T₁₃₀₈).

The spelling of 406855680 in words is "four hundred six million, eight hundred fifty-five thousand, six hundred eighty".