420052380 has 288 divisors, whose sum is σ = 1419441408. Its totient is φ = 91929600.

The previous prime is 420052363. The next prime is 420052403. The reversal of 420052380 is 83250024.

It is a self number, because there is not a number n which added to its sum of digits gives 420052380.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9768639 + ... + 9768681.

It is an arithmetic number, because the mean of its divisors is an integer number (4928616).

Almost surely, 2^420052380 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 420052380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709720704).

420052380 is an abundant number, since it is smaller than the sum of its proper divisors (999389028).

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

420052380 is a wasteful number, since it uses less digits than its factorization.

420052380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 420052380 is about 20495.1794332228. The cubic root of 420052380 is about 748.9183697401.

The spelling of 420052380 in words is "four hundred twenty million, fifty-two thousand, three hundred eighty".