420412520 has 32 divisors (see below), whose sum is σ = 1031922720. Its totient is φ = 152877120.

The previous prime is 420412511. The next prime is 420412529. The reversal of 420412520 is 25214024.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (420412511) and next prime (420412529).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 420412492 and 420412501.

It is not an unprimeable number, because it can be changed into a prime (420412529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 477302 + ... + 478181.

It is an arithmetic number, because the mean of its divisors is an integer number (32247585).

Almost surely, 2^420412520 is an apocalyptic number.

420412520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420412520 is an abundant number, since it is smaller than the sum of its proper divisors (611510200).

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

420412520 is a wasteful number, since it uses less digits than its factorization.

420412520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955505 (or 955501 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 420412520 is about 20503.9635192809. The cubic root of 420412520 is about 749.1323417979.

Adding to 420412520 its reverse (25214024), we get a palindrome (445626544).

The spelling of 420412520 in words is "four hundred twenty million, four hundred twelve thousand, five hundred twenty".