490490624 has 72 divisors (see below), whose sum is σ = 1110014640. Its totient is φ = 214437888.

The previous prime is 490490597. The next prime is 490490629. The reversal of 490490624 is 426094094.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is not an unprimeable number, because it can be changed into a prime (490490629) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59354 + ... + 67110.

It is an arithmetic number, because the mean of its divisors is an integer number (15416870).

Almost surely, 2^490490624 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 490490624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555007320).

490490624 is an abundant number, since it is smaller than the sum of its proper divisors (619524016).

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

490490624 is a wasteful number, since it uses less digits than its factorization.

490490624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7805 (or 7791 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 38.

The square root of 490490624 is about 22147.0229150556. The cubic root of 490490624 is about 788.6365543677.

The spelling of 490490624 in words is "four hundred ninety million, four hundred ninety thousand, six hundred twenty-four".