490249536 has 224 divisors, whose sum is σ = 1609344000. Its totient is φ = 128507904.

The previous prime is 490249481. The next prime is 490249549. The reversal of 490249536 is 635942094.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 982215 + ... + 982713.

Almost surely, 2^490249536 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 490249536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804672000).

490249536 is an abundant number, since it is smaller than the sum of its proper divisors (1119094464).

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

490249536 is a wasteful number, since it uses less digits than its factorization.

490249536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 571 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 490249536 is about 22141.5793474630. The cubic root of 490249536 is about 788.5073218808.

The spelling of 490249536 in words is "four hundred ninety million, two hundred forty-nine thousand, five hundred thirty-six".