490629312 has 280 divisors, whose sum is σ = 1557844992. Its totient is φ = 152409600.

The previous prime is 490629301. The next prime is 490629313. The reversal of 490629312 is 213926094.

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

It is not an unprimeable number, because it can be changed into a prime (490629313) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6910237 + ... + 6910307.

Almost surely, 2^490629312 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 490629312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778922496).

490629312 is an abundant number, since it is smaller than the sum of its proper divisors (1067215680).

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

490629312 is a wasteful number, since it uses less digits than its factorization.

490629312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 490629312 is about 22150.1537692179. The cubic root of 490629312 is about 788.7108773102.

The spelling of 490629312 in words is "four hundred ninety million, six hundred twenty-nine thousand, three hundred twelve".