420086916 has 18 divisors (see below), whose sum is σ = 1061886462. Its totient is φ = 140028960.

The previous prime is 420086911. The next prime is 420086929. The reversal of 420086916 is 619680024.

It can be written as a sum of positive squares in only one way, i.e., 420086016 + 900 = 20496^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11669081 = 420086916 / (4 + 2 + 0 + 0 + 8 + 6 + 9 + 1 + 6).

It is not an unprimeable number, because it can be changed into a prime (420086911) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5834505 + ... + 5834576.

Almost surely, 2^420086916 is an apocalyptic number.

It is an amenable number.

420086916 is an abundant number, since it is smaller than the sum of its proper divisors (641799546).

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

420086916 is a wasteful number, since it uses less digits than its factorization.

420086916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11669091 (or 11669086 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 420086916 is about 20496.0219554918. The cubic root of 420086916 is about 748.9388941137.

The spelling of 420086916 in words is "four hundred twenty million, eighty-six thousand, nine hundred sixteen".