490885200 has 360 divisors, whose sum is σ = 1945609848. Its totient is φ = 113541120.

The previous prime is 490885193. The next prime is 490885201. The reversal of 490885200 is 2588094.

It can be written as a sum of positive squares in 12 ways, for example, as 296115264 + 194769936 = 17208^2 + 13956^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490885201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 795292 + ... + 795908.

Almost surely, 2^490885200 is an apocalyptic number.

490885200 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 490885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (972804924).

490885200 is an abundant number, since it is smaller than the sum of its proper divisors (1454724648).

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

490885200 is a wasteful number, since it uses less digits than its factorization.

490885200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 490885200 is about 22155.9292289897. The cubic root of 490885200 is about 788.8479710165.

The spelling of 490885200 in words is "four hundred ninety million, eight hundred eighty-five thousand, two hundred".