406893888 has 112 divisors (see below), whose sum is σ = 1211031360. Its totient is φ = 133949952.

The previous prime is 406893871. The next prime is 406893889. The reversal of 406893888 is 888398604.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (406893889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142006 + ... + 144842.

It is an arithmetic number, because the mean of its divisors is an integer number (10812780).

Almost surely, 2^406893888 is an apocalyptic number.

406893888 is a gapful number since it is divisible by the number (48) 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 406893888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605515680).

406893888 is an abundant number, since it is smaller than the sum of its proper divisors (804137472).

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

406893888 is a wasteful number, since it uses less digits than its factorization.

406893888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2941 (or 2925 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The square root of 406893888 is about 20171.6109421137. The cubic root of 406893888 is about 741.0150958258.

The spelling of 406893888 in words is "four hundred six million, eight hundred ninety-three thousand, eight hundred eighty-eight".