490975200 has 432 divisors, whose sum is σ = 1890972720. Its totient is φ = 119439360.

The previous prime is 490975193. The next prime is 490975213. The reversal of 490975200 is 2579094.

490975200 is a `hidden beast` number, since 49 + 0 + 97 + 520 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5061552 + ... + 5061648.

Almost surely, 2^490975200 is an apocalyptic number.

490975200 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 490975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (945486360).

490975200 is an abundant number, since it is smaller than the sum of its proper divisors (1399997520).

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

490975200 is a wasteful number, since it uses less digits than its factorization.

490975200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 490975200 is about 22157.9601949277. The cubic root of 490975200 is about 788.8961777927.

The spelling of 490975200 in words is "four hundred ninety million, nine hundred seventy-five thousand, two hundred".