490179600 has 315 divisors, whose sum is σ = 1809792679. Its totient is φ = 127526400.

The previous prime is 490179587. The next prime is 490179607. The reversal of 490179600 is 6971094.

The square root of 490179600 is 22140.

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

490179600 is a `hidden beast` number, since 49 + 0 + 1 + 7 + 9 + 600 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 206324496 + 283855104 = 14364^2 + 16848^2 .

It is a super-3 number, since 3×490179600³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (490179607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 11955580 + ... + 11955620.

Almost surely, 2^490179600 is an apocalyptic number.

490179600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

490179600 is the 22140-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490179600

490179600 is an abundant number, since it is smaller than the sum of its proper divisors (1319613079).

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

490179600 is an equidigital number, since it uses as much as digits as its factorization.

490179600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The cubic root of 490179600 is about 788.4698255539.

Multiplying 490179600 by its sum of digits (36), we get a square (17646465600 = 132840²).

490179600 divided by its sum of digits (36) gives a square (13616100 = 3690²).

The spelling of 490179600 in words is "four hundred ninety million, one hundred seventy-nine thousand, six hundred".