420066468 has 18 divisors (see below), whose sum is σ = 1061834774. Its totient is φ = 140022144.

The previous prime is 420066433. The next prime is 420066469. The reversal of 420066468 is 864660024.

It is a happy number.

420066468 is a `hidden beast` number, since 4 + 2 + 0 + 0 + 6 + 646 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 253191744 + 166874724 = 15912^2 + 12918^2 .

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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: 11668513 = 420066468 / (4 + 2 + 0 + 0 + 6 + 6 + 4 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (420066469) 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, 5834221 + ... + 5834292.

Almost surely, 2^420066468 is an apocalyptic number.

It is an amenable number.

420066468 is an abundant number, since it is smaller than the sum of its proper divisors (641768306).

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

420066468 is a wasteful number, since it uses less digits than its factorization.

420066468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11668523 (or 11668518 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 420066468 is about 20495.5231209159. The cubic root of 420066468 is about 748.9267422229.

The spelling of 420066468 in words is "four hundred twenty million, sixty-six thousand, four hundred sixty-eight".