420666264 has 64 divisors (see below), whose sum is σ = 1177008000. Its totient is φ = 139203360.

The previous prime is 420666229. The next prime is 420666277. The reversal of 420666264 is 462666024.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23019 + ... + 37029.

It is an arithmetic number, because the mean of its divisors is an integer number (18390750).

Almost surely, 2^420666264 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 420666264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588504000).

420666264 is an abundant number, since it is smaller than the sum of its proper divisors (756341736).

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

420666264 is a wasteful number, since it uses less digits than its factorization.

420666264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14165 (or 14155 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 420666264 is about 20510.1502676114. The cubic root of 420666264 is about 749.2830268177.

The spelling of 420666264 in words is "four hundred twenty million, six hundred sixty-six thousand, two hundred sixty-four".