400120920 has 48 divisors (see below), whose sum is σ = 1300394160. Its totient is φ = 106698816.

The previous prime is 400120901. The next prime is 400120933. The reversal of 400120920 is 29021004.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 400120893 and 400120902.

It is a congruent number.

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, 555364 + ... + 556083.

It is an arithmetic number, because the mean of its divisors is an integer number (27091545).

Almost surely, 2^400120920 is an apocalyptic number.

400120920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

400120920 is an abundant number, since it is smaller than the sum of its proper divisors (900273240).

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

400120920 is a wasteful number, since it uses less digits than its factorization.

400120920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111464 (or 1111457 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 400120920 is about 20003.0227715713. The cubic root of 400120920 is about 736.8805377627.

Adding to 400120920 its reverse (29021004), we get a palindrome (429141924).

The spelling of 400120920 in words is "four hundred million, one hundred twenty thousand, nine hundred twenty".