420862200 has 384 divisors, whose sum is σ = 1568471040. Its totient is φ = 92928000.

The previous prime is 420862193. The next prime is 420862213. The reversal of 420862200 is 2268024.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13576185 + ... + 13576215.

It is an arithmetic number, because the mean of its divisors is an integer number (4084560).

Almost surely, 2^420862200 is an apocalyptic number.

420862200 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 420862200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (784235520).

420862200 is an abundant number, since it is smaller than the sum of its proper divisors (1147608840).

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

420862200 is a wasteful number, since it uses less digits than its factorization.

420862200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 420862200 is about 20514.9262733260. The cubic root of 420862200 is about 749.3993412961.

The spelling of 420862200 in words is "four hundred twenty million, eight hundred sixty-two thousand, two hundred".