420955200 has 504 divisors, whose sum is σ = 1650894336. Its totient is φ = 101376000.

The previous prime is 420955163. The next prime is 420955211. The reversal of 420955200 is 2559024.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10267180 + ... + 10267220.

It is an arithmetic number, because the mean of its divisors is an integer number (3275584).

Almost surely, 2^420955200 is an apocalyptic number.

420955200 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 420955200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825447168).

420955200 is an abundant number, since it is smaller than the sum of its proper divisors (1229939136).

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

420955200 is a wasteful number, since it uses less digits than its factorization.

420955200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 420955200 is about 20517.1927904380. The cubic root of 420955200 is about 749.4545367226.

The spelling of 420955200 in words is "four hundred twenty million, nine hundred fifty-five thousand, two hundred".