406779975 has 60 divisors (see below), whose sum is σ = 861169584. Its totient is φ = 185950080.

The previous prime is 406779941. The next prime is 406779979. The reversal of 406779975 is 579977604.

It is a happy number.

It is not a de Polignac number, because 406779975 - 2¹⁶ = 406714439 is a prime.

It is a super-2 number, since 2×406779975² = 330939896122001250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406779979) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 174 + ... + 28523.

Almost surely, 2^406779975 is an apocalyptic number.

406779975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

406779975 is an abundant number, since it is smaller than the sum of its proper divisors (454389609).

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

406779975 is a wasteful number, since it uses less digits than its factorization.

406779975 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28726 (or 28712 counting only the distinct ones).

The product of its (nonzero) digits is 3333960, while the sum is 54.

The square root of 406779975 is about 20168.7871474712. The cubic root of 406779975 is about 740.9459384578.

The spelling of 406779975 in words is "four hundred six million, seven hundred seventy-nine thousand, nine hundred seventy-five".