490150752 has 192 divisors, whose sum is σ = 1667473920. Its totient is φ = 122425344.

The previous prime is 490150751. The next prime is 490150753. The reversal of 490150752 is 257051094.

It is an interprime number because it is at equal distance from previous prime (490150751) and next prime (490150753).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490150751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164508 + ... + 167460.

It is an arithmetic number, because the mean of its divisors is an integer number (8684760).

Almost surely, 2^490150752 is an apocalyptic number.

490150752 is a gapful number since it is divisible by the number (42) 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 490150752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833736960).

490150752 is an abundant number, since it is smaller than the sum of its proper divisors (1177323168).

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

490150752 is a wasteful number, since it uses less digits than its factorization.

490150752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3005 (or 2997 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 490150752 is about 22139.3484998994. The cubic root of 490150752 is about 788.4543576018.

The spelling of 490150752 in words is "four hundred ninety million, one hundred fifty thousand, seven hundred fifty-two".