490021000225 has 27 divisors (see below), whose sum is σ = 611658441849. Its totient is φ = 389432344800.

The previous prime is 490021000219. The next prime is 490021000241. The reversal of 490021000225 is 522000120094.

The square root of 490021000225 is 700015.

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

It can be written as a sum of positive squares in 4 ways, for example, as 110831065569 + 379189934656 = 332913^2 + 615784^2 .

It is not a de Polignac number, because 490021000225 - 2³⁵ = 455661261857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 490021000225.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 668513959 + ... + 668514691.

Almost surely, 2^490021000225 is an apocalyptic number.

490021000225 is the 700015-th square number.

490021000225 is the 350008-th centered octagonal number.

It is an amenable number.

490021000225 is a deficient number, since it is larger than the sum of its proper divisors (121637441624).

490021000225 is an frugal number, since it uses more digits than its factorization.

490021000225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Multiplying 490021000225 by its sum of digits (25), we get a square (12250525005625 = 3500075²).

490021000225 divided by its sum of digits (25) gives a square (19600840009 = 140003²).

The spelling of 490021000225 in words is "four hundred ninety billion, twenty-one million, two hundred twenty-five", and thus it is an aban number.