490957632 has 224 divisors, whose sum is σ = 1644456960. Its totient is φ = 142179840.

The previous prime is 490957601. The next prime is 490957639. The reversal of 490957632 is 236759094.

It is a happy number.

490957632 is a `hidden beast` number, since 4 + 9 + 0 + 9 + 5 + 7 + 632 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490957639) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 436623 + ... + 437745.

Almost surely, 2^490957632 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 490957632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822228480).

490957632 is an abundant number, since it is smaller than the sum of its proper divisors (1153499328).

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

490957632 is a wasteful number, since it uses less digits than its factorization.

490957632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1162 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The square root of 490957632 is about 22157.5637649991. The cubic root of 490957632 is about 788.8867682928.

The spelling of 490957632 in words is "four hundred ninety million, nine hundred fifty-seven thousand, six hundred thirty-two".