400420400 has 60 divisors (see below), whose sum is σ = 995211600. Its totient is φ = 154640640.

The previous prime is 400420399. The next prime is 400420411. The reversal of 400420400 is 4024004.

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, 5660 + ... + 28859.

It is an arithmetic number, because the mean of its divisors is an integer number (16586860).

Almost surely, 2^400420400 is an apocalyptic number.

400420400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400420400 is an abundant number, since it is smaller than the sum of its proper divisors (594791200).

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

400420400 is a wasteful number, since it uses less digits than its factorization.

400420400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34566 (or 34555 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 14.

The square root of 400420400 is about 20010.5072399477. The cubic root of 400420400 is about 737.0643371571.

Adding to 400420400 its reverse (4024004), we get a palindrome (404444404).

The spelling of 400420400 in words is "four hundred million, four hundred twenty thousand, four hundred".