420795720 has 48 divisors (see below), whose sum is σ = 1367587260. Its totient is φ = 112212096.

The previous prime is 420795719. The next prime is 420795733. The reversal of 420795720 is 27597024.

It can be written as a sum of positive squares in 2 ways, for example, as 364275396 + 56520324 = 19086^2 + 7518^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 584079 + ... + 584798.

Almost surely, 2^420795720 is an apocalyptic number.

420795720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420795720 is an abundant number, since it is smaller than the sum of its proper divisors (946791540).

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

420795720 is a wasteful number, since it uses less digits than its factorization.

420795720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1168894 (or 1168887 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 420795720 is about 20513.3059256669. The cubic root of 420795720 is about 749.3598804848.

The spelling of 420795720 in words is "four hundred twenty million, seven hundred ninety-five thousand, seven hundred twenty".