400332120 has 32 divisors (see below), whose sum is σ = 1200996720. Its totient is φ = 106755200.

The previous prime is 400332103. The next prime is 400332131. The reversal of 400332120 is 21233004.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 400332120.

It is a congruent number.

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, 1667931 + ... + 1668170.

Almost surely, 2^400332120 is an apocalyptic number.

400332120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400332120 is an abundant number, since it is smaller than the sum of its proper divisors (800664600).

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

400332120 is a wasteful number, since it uses less digits than its factorization.

400332120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336115 (or 3336111 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 400332120 is about 20008.3012772199. The cubic root of 400332120 is about 737.0101667384.

Adding to 400332120 its reverse (21233004), we get a palindrome (421565124).

It can be divided in two parts, 400 and 332120, that added together give a triangular number (332520 = T₈₁₅).

The spelling of 400332120 in words is "four hundred million, three hundred thirty-two thousand, one hundred twenty".