400034120 has 32 divisors (see below), whose sum is σ = 931116600. Its totient is φ = 154495488.

The previous prime is 400034119. The next prime is 400034143. The reversal of 400034120 is 21430004.

It can be written as a sum of positive squares in 4 ways, for example, as 343212676 + 56821444 = 18526^2 + 7538^2 .

It is a junction number, because it is equal to n+sod(n) for n = 400034095 and 400034104.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 171269 + ... + 173588.

Almost surely, 2^400034120 is an apocalyptic number.

400034120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400034120 is an abundant number, since it is smaller than the sum of its proper divisors (531082480).

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

400034120 is a wasteful number, since it uses less digits than its factorization.

400034120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 344897 (or 344893 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 400034120 is about 20000.8529818106. The cubic root of 400034120 is about 736.8272489916.

Adding to 400034120 its reverse (21430004), we get a palindrome (421464124).

The spelling of 400034120 in words is "four hundred million, thirty-four thousand, one hundred twenty".