490309632 has 96 divisors (see below), whose sum is σ = 1452578400. Its totient is φ = 163418112.

The previous prime is 490309627. The next prime is 490309637. The reversal of 490309632 is 236903094.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (490309627) and next prime (490309637).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (490309637) 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, 50863 + ... + 59729.

It is an arithmetic number, because the mean of its divisors is an integer number (15131025).

Almost surely, 2^490309632 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 490309632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (726289200).

490309632 is an abundant number, since it is smaller than the sum of its proper divisors (962268768).

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

490309632 is an equidigital number, since it uses as much as digits as its factorization.

490309632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8898 (or 8872 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 490309632 is about 22142.9363906416. The cubic root of 490309632 is about 788.5395396232.

The spelling of 490309632 in words is "four hundred ninety million, three hundred nine thousand, six hundred thirty-two".