490153248 has 288 divisors, whose sum is σ = 1646305920. Its totient is φ = 141004800.

The previous prime is 490153247. The next prime is 490153277. The reversal of 490153248 is 842351094.

It is a tau number, because it is divible by the number of its divisors (288).

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 (490153247) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 3245973 + ... + 3246123.

It is an arithmetic number, because the mean of its divisors is an integer number (5716340).

Almost surely, 2^490153248 is an apocalyptic number.

490153248 is a gapful number since it is divisible by the number (48) 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 490153248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823152960).

490153248 is an abundant number, since it is smaller than the sum of its proper divisors (1156152672).

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

490153248 is a wasteful number, since it uses less digits than its factorization.

490153248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 490153248 is about 22139.4048700501. The cubic root of 490153248 is about 788.4556959511.

The spelling of 490153248 in words is "four hundred ninety million, one hundred fifty-three thousand, two hundred forty-eight".