490940352 has 280 divisors, whose sum is σ = 1693566336. Its totient is φ = 137728512.

The previous prime is 490940347. The next prime is 490940353. The reversal of 490940352 is 253049094.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490940353) 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 39 ways as a sum of consecutive naturals, for example, 3011823 + ... + 3011985.

Almost surely, 2^490940352 is an apocalyptic number.

490940352 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 490940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846783168).

490940352 is an abundant number, since it is smaller than the sum of its proper divisors (1202625984).

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

490940352 is a wasteful number, since it uses less digits than its factorization.

490940352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 490940352 is about 22157.1738270024. The cubic root of 490940352 is about 788.8775128279.

The spelling of 490940352 in words is "four hundred ninety million, nine hundred forty thousand, three hundred fifty-two".