490283640 has 384 divisors, whose sum is σ = 2075673600. Its totient is φ = 97320960.

The previous prime is 490283623. The next prime is 490283641. The reversal of 490283640 is 46382094.

It is a happy number.

490283640 is a `hidden beast` number, since 4 + 9 + 0 + 2 + 8 + 3 + 640 = 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 = 490283595 and 490283604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490283641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 637176 + ... + 637944.

It is an arithmetic number, because the mean of its divisors is an integer number (5405400).

Almost surely, 2^490283640 is an apocalyptic number.

490283640 is a gapful number since it is divisible by the number (40) 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 490283640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1037836800).

490283640 is an abundant number, since it is smaller than the sum of its proper divisors (1585389960).

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

490283640 is a wasteful number, since it uses less digits than its factorization.

490283640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 827 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 490283640 is about 22142.3494688346. The cubic root of 490283640 is about 788.5256055154.

The spelling of 490283640 in words is "four hundred ninety million, two hundred eighty-three thousand, six hundred forty".