420400120 has 32 divisors (see below), whose sum is σ = 1081029600. Its totient is φ = 144137088.

The previous prime is 420400117. The next prime is 420400171. The reversal of 420400120 is 21004024.

It is a self number, because there is not a number n which added to its sum of digits gives 420400120.

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, 750435 + ... + 750994.

It is an arithmetic number, because the mean of its divisors is an integer number (33782175).

Almost surely, 2^420400120 is an apocalyptic number.

420400120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420400120 is an abundant number, since it is smaller than the sum of its proper divisors (660629480).

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

420400120 is a wasteful number, since it uses less digits than its factorization.

420400120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1501447 (or 1501443 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

The square root of 420400120 is about 20503.6611364897. The cubic root of 420400120 is about 749.1249765460.

Adding to 420400120 its reverse (21004024), we get a palindrome (441404144).

The spelling of 420400120 in words is "four hundred twenty million, four hundred thousand, one hundred twenty".