490757652 has 144 divisors (see below), whose sum is σ = 1596801024. Its totient is φ = 123336000.

The previous prime is 490757623. The next prime is 490757653. The reversal of 490757652 is 256757094.

It is a junction number, because it is equal to n+sod(n) for n = 490757598 and 490757607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490757653) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 83077 + ... + 88787.

It is an arithmetic number, because the mean of its divisors is an integer number (11088896).

Almost surely, 2^490757652 is an apocalyptic number.

490757652 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 490757652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798400512).

490757652 is an abundant number, since it is smaller than the sum of its proper divisors (1106043372).

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

490757652 is a wasteful number, since it uses less digits than its factorization.

490757652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5770 (or 5765 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The square root of 490757652 is about 22153.0506251396. The cubic root of 490757652 is about 788.7796422798.

The spelling of 490757652 in words is "four hundred ninety million, seven hundred fifty-seven thousand, six hundred fifty-two".