406475400 has 48 divisors (see below), whose sum is σ = 1260075600. Its totient is φ = 108393280.

The previous prime is 406475393. The next prime is 406475401. The reversal of 406475400 is 4574604.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (406475401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 338130 + ... + 339329.

It is an arithmetic number, because the mean of its divisors is an integer number (26251575).

Almost surely, 2^406475400 is an apocalyptic number.

406475400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

406475400 is an abundant number, since it is smaller than the sum of its proper divisors (853600200).

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

406475400 is a wasteful number, since it uses less digits than its factorization.

406475400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677478 (or 677469 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 406475400 is about 20161.2350812146. The cubic root of 406475400 is about 740.7609654416.

The spelling of 406475400 in words is "four hundred six million, four hundred seventy-five thousand, four hundred".