406433475 has 72 divisors (see below), whose sum is σ = 836589312. Its totient is φ = 184766400.

The previous prime is 406433473. The next prime is 406433479. The reversal of 406433475 is 574334604.

It is a happy number.

406433475 is a `hidden beast` number, since 4 + 0 + 643 + 3 + 4 + 7 + 5 = 666.

It is not a de Polignac number, because 406433475 - 2¹ = 406433473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (406433473) 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, 331714 + ... + 332936.

It is an arithmetic number, because the mean of its divisors is an integer number (11619296).

Almost surely, 2^406433475 is an apocalyptic number.

406433475 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

406433475 is an abundant number, since it is smaller than the sum of its proper divisors (430155837).

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

406433475 is a wasteful number, since it uses less digits than its factorization.

406433475 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1457 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 36.

The square root of 406433475 is about 20160.1953115539. The cubic root of 406433475 is about 740.7354965192.

The spelling of 406433475 in words is "four hundred six million, four hundred thirty-three thousand, four hundred seventy-five".