400004400 has 60 divisors (see below), whose sum is σ = 1281351272. Its totient is φ = 106667520.

The previous prime is 400004399. The next prime is 400004419. The reversal of 400004400 is 4400004.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

400004400 is a modest number, since divided by 4400 gives 400 as remainder.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 165469 + ... + 167868.

Almost surely, 2^400004400 is an apocalyptic number.

400004400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400004400 is an abundant number, since it is smaller than the sum of its proper divisors (881346872).

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

400004400 is a wasteful number, since it uses less digits than its factorization.

400004400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333358 (or 333347 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 400004400 is about 20000.1099996975. The cubic root of 400004400 is about 736.8090013413.

Adding to 400004400 its reverse (4400004), we get a palindrome (404404404).

The spelling of 400004400 in words is "four hundred million, four thousand, four hundred".