490057344 has 256 divisors, whose sum is σ = 1692057600. Its totient is φ = 136719360.

The previous prime is 490057277. The next prime is 490057349. The reversal of 490057344 is 443750094.

490057344 is a `hidden beast` number, since 49 + 0 + 0 + 573 + 44 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 490057299 and 490057308.

It is not an unprimeable number, because it can be changed into a prime (490057349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136809 + ... + 1137239.

It is an arithmetic number, because the mean of its divisors is an integer number (6609600).

Almost surely, 2^490057344 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 490057344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846028800).

490057344 is an abundant number, since it is smaller than the sum of its proper divisors (1202000256).

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

490057344 is a wasteful number, since it uses less digits than its factorization.

490057344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508 (or 490 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 490057344 is about 22137.2388522146. The cubic root of 490057344 is about 788.4042691864.

The spelling of 490057344 in words is "four hundred ninety million, fifty-seven thousand, three hundred forty-four".