420260000 has 60 divisors (see below), whose sum is σ = 1033951842. Its totient is φ = 168096000.

The previous prime is 420259999. The next prime is 420260017. The reversal of 420260000 is 62024.

It can be written as a sum of positive squares in 5 ways, for example, as 31854736 + 388405264 = 5644^2 + 19708^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9494 + ... + 30506.

Almost surely, 2^420260000 is an apocalyptic number.

420260000 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 420260000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516975921).

420260000 is an abundant number, since it is smaller than the sum of its proper divisors (613691842).

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

420260000 is an equidigital number, since it uses as much as digits as its factorization.

420260000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21043 (or 21020 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 420260000 is about 20500.2439009881. The cubic root of 420260000 is about 749.0417391326.

The spelling of 420260000 in words is "four hundred twenty million, two hundred sixty thousand".