420295260 has 192 divisors, whose sum is σ = 1518289920. Its totient is φ = 84295680.

The previous prime is 420295259. The next prime is 420295297. The reversal of 420295260 is 62592024.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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, 132412 + ... + 135548.

It is an arithmetic number, because the mean of its divisors is an integer number (7907760).

Almost surely, 2^420295260 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 420295260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759144960).

420295260 is an abundant number, since it is smaller than the sum of its proper divisors (1097994660).

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

420295260 is a wasteful number, since it uses less digits than its factorization.

420295260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3196 (or 3194 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 420295260 is about 20501.1038727187. The cubic root of 420295260 is about 749.0626868579.

The spelling of 420295260 in words is "four hundred twenty million, two hundred ninety-five thousand, two hundred sixty".