420066864 has 160 divisors (see below), whose sum is σ = 1422766080. Its totient is φ = 116121600.

The previous prime is 420066863. The next prime is 420066919. The reversal of 420066864 is 468660024.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (420066863) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91504 + ... + 95984.

It is an arithmetic number, because the mean of its divisors is an integer number (8892288).

Almost surely, 2^420066864 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 420066864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711383040).

420066864 is an abundant number, since it is smaller than the sum of its proper divisors (1002699216).

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

420066864 is a wasteful number, since it uses less digits than its factorization.

420066864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4536 (or 4524 counting only the distinct ones).

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

The square root of 420066864 is about 20495.5327815600. The cubic root of 420066864 is about 748.9269775626.

The spelling of 420066864 in words is "four hundred twenty million, sixty-six thousand, eight hundred sixty-four".