420086016 has 243 divisors, whose sum is σ = 1432436733. Its totient is φ = 118056960.

The previous prime is 420086011. The next prime is 420086021. The reversal of 420086016 is 610680024.

The square root of 420086016 is 20496.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (420086011) and next prime (420086021).

It can be written as a sum of positive squares in only one way, i.e., 13660416 + 406425600 = 3696^2 + 20160^2 .

It is not an unprimeable number, because it can be changed into a prime (420086011) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6886626 + ... + 6886686.

Almost surely, 2^420086016 is an apocalyptic number.

420086016 is the 20496-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420086016

420086016 is an abundant number, since it is smaller than the sum of its proper divisors (1012350717).

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

420086016 is an equidigital number, since it uses as much as digits as its factorization.

420086016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The cubic root of 420086016 is about 748.9383592677.

Multiplying 420086016 by its product of nonzero digits (2304), we get a square (967878180864 = 983808²).

420086016 divided by its product of nonzero digits (2304) gives a square (182329 = 427²).

The spelling of 420086016 in words is "four hundred twenty million, eighty-six thousand, sixteen".