400208424 has 128 divisors (see below), whose sum is σ = 1320883200. Its totient is φ = 97827840.

The previous prime is 400208423. The next prime is 400208443. The reversal of 400208424 is 424802004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 400208394 and 400208403.

It is not an unprimeable number, because it can be changed into a prime (400208423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25047 + ... + 37785.

It is an arithmetic number, because the mean of its divisors is an integer number (10319400).

Almost surely, 2^400208424 is an apocalyptic number.

400208424 is a gapful number since it is divisible by the number (44) 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 400208424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660441600).

400208424 is an abundant number, since it is smaller than the sum of its proper divisors (920674776).

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

400208424 is a wasteful number, since it uses less digits than its factorization.

400208424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12783 (or 12779 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 400208424 is about 20005.2099214180. The cubic root of 400208424 is about 736.9342509374.

The spelling of 400208424 in words is "four hundred million, two hundred eight thousand, four hundred twenty-four".