420072768 has 42 divisors (see below), whose sum is σ = 1204064394. Its totient is φ = 140024064.

The previous prime is 420072739. The next prime is 420072769. The reversal of 420072768 is 867270024.

It can be written as a sum of positive squares in only one way, i.e., 238146624 + 181926144 = 15432^2 + 13488^2 .

It is a super-2 number, since 2×420072768² = 352922260830363648, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420072769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 364071 + ... + 365222.

Almost surely, 2^420072768 is an apocalyptic number.

420072768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

420072768 is an abundant number, since it is smaller than the sum of its proper divisors (783991626).

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

420072768 is a wasteful number, since it uses less digits than its factorization.

420072768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 729311 (or 729298 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 420072768 is about 20495.6768124402. The cubic root of 420072768 is about 748.9304862454.

The spelling of 420072768 in words is "four hundred twenty million, seventy-two thousand, seven hundred sixty-eight".