420417800 has 48 divisors (see below), whose sum is σ = 1066338000. Its totient is φ = 152878400.

The previous prime is 420417749. The next prime is 420417817. The reversal of 420417800 is 8714024.

It is a super-2 number, since 2×420417800² = 353502253113680000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 420417800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 93350 + ... + 97749.

It is an arithmetic number, because the mean of its divisors is an integer number (22215375).

Almost surely, 2^420417800 is an apocalyptic number.

420417800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

420417800 is an abundant number, since it is smaller than the sum of its proper divisors (645920200).

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

420417800 is a wasteful number, since it uses less digits than its factorization.

420417800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191126 (or 191117 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 26.

The square root of 420417800 is about 20504.0922744705. The cubic root of 420417800 is about 749.1354779258.

The spelling of 420417800 in words is "four hundred twenty million, four hundred seventeen thousand, eight hundred".