406616364 has 144 divisors (see below), whose sum is σ = 1309142016. Its totient is φ = 103334400.

The previous prime is 406616363. The next prime is 406616369. The reversal of 406616364 is 463616604.

406616364 is a `hidden beast` number, since 4 + 0 + 6 + 616 + 36 + 4 = 666.

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 (406616363) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128724 + ... + 131844.

It is an arithmetic number, because the mean of its divisors is an integer number (9091264).

Almost surely, 2^406616364 is an apocalyptic number.

406616364 is a gapful number since it is divisible by the number (44) 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 406616364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654571008).

406616364 is an abundant number, since it is smaller than the sum of its proper divisors (902525652).

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

406616364 is a wasteful number, since it uses less digits than its factorization.

406616364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3196 (or 3191 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 406616364 is about 20164.7306949535. The cubic root of 406616364 is about 740.8465864986.

The spelling of 406616364 in words is "four hundred six million, six hundred sixteen thousand, three hundred sixty-four".