490661820 has 384 divisors, whose sum is σ = 1820206080. Its totient is φ = 108380160.

The previous prime is 490661813. The next prime is 490661827. The reversal of 490661820 is 28166094.

It is an interprime number because it is at equal distance from previous prime (490661813) and next prime (490661827).

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 (490661827) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4342084 + ... + 4342196.

It is an arithmetic number, because the mean of its divisors is an integer number (4740120).

Almost surely, 2^490661820 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 490661820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (910103040).

490661820 is an abundant number, since it is smaller than the sum of its proper divisors (1329544260).

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

490661820 is a wasteful number, since it uses less digits than its factorization.

490661820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 490661820 is about 22150.8875668674. The cubic root of 490661820 is about 788.7282963313.

The spelling of 490661820 in words is "four hundred ninety million, six hundred sixty-one thousand, eight hundred twenty".