406116864 has 120 divisors (see below), whose sum is σ = 1210315392. Its totient is φ = 130959360.

The previous prime is 406116863. The next prime is 406116869. The reversal of 406116864 is 468611604.

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

It is not an unprimeable number, because it can be changed into a prime (406116863) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 141427 + ... + 144269.

Almost surely, 2^406116864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 406116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605157696).

406116864 is an abundant number, since it is smaller than the sum of its proper divisors (804198528).

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

406116864 is a wasteful number, since it uses less digits than its factorization.

406116864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2898 (or 2879 counting only the distinct ones).

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

The square root of 406116864 is about 20152.3414024277. The cubic root of 406116864 is about 740.5431026464.

The spelling of 406116864 in words is "four hundred six million, one hundred sixteen thousand, eight hundred sixty-four".