490816620 has 144 divisors (see below), whose sum is σ = 1741259520. Its totient is φ = 109565568.

The previous prime is 490816603. The next prime is 490816621. The reversal of 490816620 is 26618094.

490816620 is a `hidden beast` number, since 490 + 8 + 166 + 2 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (490816621) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 49651 + ... + 58709.

It is an arithmetic number, because the mean of its divisors is an integer number (12092080).

Almost surely, 2^490816620 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 490816620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (870629760).

490816620 is an abundant number, since it is smaller than the sum of its proper divisors (1250442900).

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

490816620 is a wasteful number, since it uses less digits than its factorization.

490816620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9124 (or 9119 counting only the distinct ones).

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

The square root of 490816620 is about 22154.3815079546. The cubic root of 490816620 is about 788.8112334973.

It can be divided in two parts, 4908 and 16620, that added together give a triangular number (21528 = T₂₀₇).

The spelling of 490816620 in words is "four hundred ninety million, eight hundred sixteen thousand, six hundred twenty".