420789520 has 40 divisors (see below), whose sum is σ = 991751256. Its totient is φ = 166007808.

The previous prime is 420789511. The next prime is 420789521. The reversal of 420789520 is 25987024.

It can be written as a sum of positive squares in 4 ways, for example, as 5934096 + 414855424 = 2436^2 + 20368^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 420789520.

It is not an unprimeable number, because it can be changed into a prime (420789521) 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, 30187 + ... + 41866.

Almost surely, 2^420789520 is an apocalyptic number.

420789520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420789520 is an abundant number, since it is smaller than the sum of its proper divisors (570961736).

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

420789520 is a wasteful number, since it uses less digits than its factorization.

420789520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72139 (or 72133 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 37.

The square root of 420789520 is about 20513.1548036863. The cubic root of 420789520 is about 749.3562001130.

The spelling of 420789520 in words is "four hundred twenty million, seven hundred eighty-nine thousand, five hundred twenty".