420943320 has 240 divisors, whose sum is σ = 1599258960. Its totient is φ = 96018048.

The previous prime is 420943301. The next prime is 420943321. The reversal of 420943320 is 23349024.

It is a happy number.

420943320 is a `hidden beast` number, since 4 + 209 + 433 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420943321) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 864117 + ... + 864603.

It is an arithmetic number, because the mean of its divisors is an integer number (6663579).

Almost surely, 2^420943320 is an apocalyptic number.

420943320 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 420943320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799629480).

420943320 is an abundant number, since it is smaller than the sum of its proper divisors (1178315640).

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

420943320 is a wasteful number, since it uses less digits than its factorization.

420943320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 420943320 is about 20516.9032751047. The cubic root of 420943320 is about 749.4474864049.

The spelling of 420943320 in words is "four hundred twenty million, nine hundred forty-three thousand, three hundred twenty".