420525192 has 128 divisors (see below), whose sum is σ = 1190972160. Its totient is φ = 123002880.

The previous prime is 420525139. The next prime is 420525197. The reversal of 420525192 is 291525024.

It is not an unprimeable number, because it can be changed into a prime (420525197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 384198 + ... + 385290.

It is an arithmetic number, because the mean of its divisors is an integer number (9304470).

Almost surely, 2^420525192 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 420525192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595486080).

420525192 is an abundant number, since it is smaller than the sum of its proper divisors (770446968).

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

420525192 is a wasteful number, since it uses less digits than its factorization.

420525192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1179 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 420525192 is about 20506.7109015561. The cubic root of 420525192 is about 749.1992591675.

The spelling of 420525192 in words is "four hundred twenty million, five hundred twenty-five thousand, one hundred ninety-two".