420536960 has 32 divisors (see below), whose sum is σ = 1005347700. Its totient is φ = 168214528.

The previous prime is 420536953. The next prime is 420536993. The reversal of 420536960 is 69635024.

It can be written as a sum of positive squares in 2 ways, for example, as 396487744 + 24049216 = 19912^2 + 4904^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 420536960.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 327905 + ... + 329184.

Almost surely, 2^420536960 is an apocalyptic number.

420536960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420536960 is an abundant number, since it is smaller than the sum of its proper divisors (584810740).

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

420536960 is an equidigital number, since it uses as much as digits as its factorization.

420536960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657108 (or 657096 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

The square root of 420536960 is about 20506.9978300092. The cubic root of 420536960 is about 749.2062476467.

The spelling of 420536960 in words is "four hundred twenty million, five hundred thirty-six thousand, nine hundred sixty".