420498360 has 96 divisors (see below), whose sum is σ = 1369311840. Its totient is φ = 111912192.

The previous prime is 420498317. The next prime is 420498361. The reversal of 420498360 is 63894024.

It is a happy number.

420498360 is a `hidden beast` number, since 4 + 204 + 98 + 360 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420498361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 271749 + ... + 273291.

It is an arithmetic number, because the mean of its divisors is an integer number (14263665).

Almost surely, 2^420498360 is an apocalyptic number.

420498360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420498360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (684655920).

420498360 is an abundant number, since it is smaller than the sum of its proper divisors (948813480).

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

420498360 is a wasteful number, since it uses less digits than its factorization.

420498360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2310 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 420498360 is about 20506.0566662633. The cubic root of 420498360 is about 749.1833243773.

The spelling of 420498360 in words is "four hundred twenty million, four hundred ninety-eight thousand, three hundred sixty".