420485120 has 96 divisors (see below), whose sum is σ = 1100932560. Its totient is φ = 152862720.

The previous prime is 420485111. The next prime is 420485137. The reversal of 420485120 is 21584024.

It is a happy number.

It is a super-2 number, since 2×420485120² = 353615472282828800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420485120.

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, 110774 + ... + 114506.

Almost surely, 2^420485120 is an apocalyptic number.

420485120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420485120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550466280).

420485120 is an abundant number, since it is smaller than the sum of its proper divisors (680447440).

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

420485120 is a wasteful number, since it uses less digits than its factorization.

420485120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3771 (or 3751 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

The square root of 420485120 is about 20505.7338322724. The cubic root of 420485120 is about 749.1754612541.

The spelling of 420485120 in words is "four hundred twenty million, four hundred eighty-five thousand, one hundred twenty".