420250000 has 105 divisors (see below), whose sum is σ = 1043209303. Its totient is φ = 164000000.

The previous prime is 420249971. The next prime is 420250001. The reversal of 420250000 is 52024.

It is a happy number.

The square root of 420250000 is 20500.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 126607504 + 293642496 = 11252^2 + 17136^2 .

It is a super-2 number, since 2×420250000² = 353220125000000000, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (420250001) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 10249980 + ... + 10250020.

Almost surely, 2^420250000 is an apocalyptic number.

420250000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

420250000 is the 20500-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420250000

420250000 is an abundant number, since it is smaller than the sum of its proper divisors (622959303).

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

420250000 is an frugal number, since it uses more digits than its factorization.

420250000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 13.

The cubic root of 420250000 is about 749.0357979875.

It can be divided in two parts, 4 and 20250000, that multiplied together give a square (81000000 = 9000²).

The spelling of 420250000 in words is "four hundred twenty million, two hundred fifty thousand".