490521024 has 252 divisors, whose sum is σ = 1700899824. Its totient is φ = 132378624.

The previous prime is 490521001. The next prime is 490521047. The reversal of 490521024 is 420125094.

It is an interprime number because it is at equal distance from previous prime (490521001) and next prime (490521047).

It is a tau number, because it is divible by the number of its divisors (252).

It is a super-2 number, since 2×490521024² = 481221749972017152, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1455384 + ... + 1455720.

Almost surely, 2^490521024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490521024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850449912).

490521024 is an abundant number, since it is smaller than the sum of its proper divisors (1210378800).

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

490521024 is a wasteful number, since it uses less digits than its factorization.

490521024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 490521024 is about 22147.7092269155. The cubic root of 490521024 is about 788.6528469359.

The spelling of 490521024 in words is "four hundred ninety million, five hundred twenty-one thousand, twenty-four".