490844025 has 81 divisors (see below), whose sum is σ = 1027561743. Its totient is φ = 223322400.

The previous prime is 490844023. The next prime is 490844027. The reversal of 490844025 is 520448094.

490844025 = 1³ + 2³ + ... + 210³.

The square root of 490844025 is 22155.

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

It is an interprime number because it is at equal distance from previous prime (490844023) and next prime (490844027).

It can be written as a sum of positive squares in only one way, i.e., 176703849 + 314140176 = 13293^2 + 17724^2 .

It is not a de Polignac number, because 490844025 - 2¹ = 490844023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (490844023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2326170 + ... + 2326380.

Almost surely, 2^490844025 is an apocalyptic number.

490844025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

490844025 is the 22155-th square number.

490844025 is the 11078-th centered octagonal number.

It is an amenable number.

490844025 is an abundant number, since it is smaller than the sum of its proper divisors (536717718).

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

490844025 is a wasteful number, since it uses less digits than its factorization.

490844025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 226 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The cubic root of 490844025 is about 788.8259144519.

Multiplying 490844025 by its sum of digits (36), we get a square (17670384900 = 132930²).

The spelling of 490844025 in words is "four hundred ninety million, eight hundred forty-four thousand, twenty-five".