406599795 has 72 divisors (see below), whose sum is σ = 868143744. Its totient is φ = 174924288.

The previous prime is 406599769. The next prime is 406599799. The reversal of 406599795 is 597995604.

406599795 is a `hidden beast` number, since 40 + 6 + 599 + 7 + 9 + 5 = 666.

It is not a de Polignac number, because 406599795 - 2⁶ = 406599731 is a prime.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (406599799) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 32062 + ... + 42908.

It is an arithmetic number, because the mean of its divisors is an integer number (12057552).

Almost surely, 2^406599795 is an apocalyptic number.

406599795 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

406599795 is an abundant number, since it is smaller than the sum of its proper divisors (461543949).

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

406599795 is a wasteful number, since it uses less digits than its factorization.

406599795 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10889 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The square root of 406599795 is about 20164.3198496751. The cubic root of 406599795 is about 740.8365235704.

The spelling of 406599795 in words is "four hundred six million, five hundred ninety-nine thousand, seven hundred ninety-five".