420064920 has 256 divisors, whose sum is σ = 1608768000. Its totient is φ = 96422400.

The previous prime is 420064907. The next prime is 420064927. The reversal of 420064920 is 29460024.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420064927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224790 + ... + 226650.

It is an arithmetic number, because the mean of its divisors is an integer number (6284250).

Almost surely, 2^420064920 is an apocalyptic number.

420064920 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420064920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804384000).

420064920 is an abundant number, since it is smaller than the sum of its proper divisors (1188703080).

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

420064920 is a wasteful number, since it uses less digits than its factorization.

420064920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1901 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 420064920 is about 20495.4853565364. The cubic root of 420064920 is about 748.9258222574.

The spelling of 420064920 in words is "four hundred twenty million, sixty-four thousand, nine hundred twenty".