420432120 has 80 divisors (see below), whose sum is σ = 1413129960. Its totient is φ = 112114368.

The previous prime is 420432119. The next prime is 420432121. The reversal of 420432120 is 21234024.

It is an interprime number because it is at equal distance from previous prime (420432119) and next prime (420432121).

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 = 420432093 and 420432102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420432121) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61642 + ... + 68121.

Almost surely, 2^420432120 is an apocalyptic number.

420432120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420432120 is an abundant number, since it is smaller than the sum of its proper divisors (992697840).

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

420432120 is a wasteful number, since it uses less digits than its factorization.

420432120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129786 (or 129773 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 420432120 is about 20504.4414700815. The cubic root of 420432120 is about 749.1439833524.

Adding to 420432120 its reverse (21234024), we get a palindrome (441666144).

The spelling of 420432120 in words is "four hundred twenty million, four hundred thirty-two thousand, one hundred twenty".