490357504 has 216 divisors, whose sum is σ = 1278791808. Its totient is φ = 185794560.

The previous prime is 490357489. The next prime is 490357507. The reversal of 490357504 is 405753094.

It is a super-2 number, since 2×490357504² = 480900963458220032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (490357507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5055184 + ... + 5055280.

Almost surely, 2^490357504 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 490357504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (639395904).

490357504 is an abundant number, since it is smaller than the sum of its proper divisors (788434304).

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

490357504 is a wasteful number, since it uses less digits than its factorization.

490357504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 490357504 is about 22144.0173410337. The cubic root of 490357504 is about 788.5652021393.

The spelling of 490357504 in words is "four hundred ninety million, three hundred fifty-seven thousand, five hundred four".