490776 has 72 divisors (see below), whose sum is σ = 1460340. Its totient is φ = 137280.

The previous prime is 490771. The next prime is 490783. The reversal of 490776 is 677094.

It is a super-2 number, since 2×490776² = 481722164352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (490771) by changing a digit.

490776 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 37746 + ... + 37758.

2⁴⁹⁰⁷⁷⁶ 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 490776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (730170).

490776 is an abundant number, since it is smaller than the sum of its proper divisors (969564).

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

490776 is a wasteful number, since it uses less digits than its factorization.

490776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 33.

The square root of 490776 is about 700.5540664360. The cubic root of 490776 is about 78.8789472216.

Multiplying 490776 by its product of nonzero digits (10584), we get a square (5194373184 = 72072²).

The spelling of 490776 in words is "four hundred ninety thousand, seven hundred seventy-six".