420590268 has 144 divisors (see below), whose sum is σ = 1328431104. Its totient is φ = 109416960.

The previous prime is 420590257. The next prime is 420590273. The reversal of 420590268 is 862095024.

It is a happy number.

420590268 is a `hidden beast` number, since 4 + 2 + 0 + 590 + 2 + 68 = 666.

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 47 ways as a sum of consecutive naturals, for example, 131221 + ... + 134387.

It is an arithmetic number, because the mean of its divisors is an integer number (9225216).

Almost surely, 2^420590268 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 420590268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664215552).

420590268 is an abundant number, since it is smaller than the sum of its proper divisors (907840836).

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

420590268 is a wasteful number, since it uses less digits than its factorization.

420590268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3232 (or 3227 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 420590268 is about 20508.2975402640. The cubic root of 420590268 is about 749.2379032069.

The spelling of 420590268 in words is "four hundred twenty million, five hundred ninety thousand, two hundred sixty-eight".