420506152 has 64 divisors (see below), whose sum is σ = 919900800. Its totient is φ = 178083840.

The previous prime is 420506143. The next prime is 420506183. The reversal of 420506152 is 251605024.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 152724 + ... + 155452.

It is an arithmetic number, because the mean of its divisors is an integer number (14373450).

Almost surely, 2^420506152 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 420506152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459950400).

420506152 is an abundant number, since it is smaller than the sum of its proper divisors (499394648).

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

420506152 is a wasteful number, since it uses less digits than its factorization.

420506152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2862 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

The square root of 420506152 is about 20506.2466580308. The cubic root of 420506152 is about 749.1879519027.

The spelling of 420506152 in words is "four hundred twenty million, five hundred six thousand, one hundred fifty-two".