490907424 has 96 divisors (see below), whose sum is σ = 1477840896. Its totient is φ = 139772160.

The previous prime is 490907399. The next prime is 490907441. The reversal of 490907424 is 424709094.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221329 + ... + 223535.

It is an arithmetic number, because the mean of its divisors is an integer number (15394176).

Almost surely, 2^490907424 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 490907424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (738920448).

490907424 is an abundant number, since it is smaller than the sum of its proper divisors (986933472).

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

490907424 is a wasteful number, since it uses less digits than its factorization.

490907424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 490907424 is about 22156.4307594883. The cubic root of 490907424 is about 788.8598754243.

The spelling of 490907424 in words is "four hundred ninety million, nine hundred seven thousand, four hundred twenty-four".