420333568 has 48 divisors (see below), whose sum is σ = 889974540. Its totient is φ = 197787648.

The previous prime is 420333559. The next prime is 420333577. The reversal of 420333568 is 865333024.

It is an interprime number because it is at equal distance from previous prime (420333559) and next prime (420333577).

It can be written as a sum of positive squares in 2 ways, for example, as 407716864 + 12616704 = 20192^2 + 3552^2 .

It is a super-2 number, since 2×420333568² = 353360616775221248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

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, 28780 + ... + 40852.

Almost surely, 2^420333568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420333568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444987270).

420333568 is an abundant number, since it is smaller than the sum of its proper divisors (469640972).

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

420333568 is a wasteful number, since it uses less digits than its factorization.

420333568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12112 (or 12092 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

The square root of 420333568 is about 20502.0381425848. The cubic root of 420333568 is about 749.0854440513.

The spelling of 420333568 in words is "four hundred twenty million, three hundred thirty-three thousand, five hundred sixty-eight".