490540800 has 216 divisors, whose sum is σ = 1676611440. Its totient is φ = 126156800.

The previous prime is 490540781. The next prime is 490540819. The reversal of 490540800 is 8045094.

It is an interprime number because it is at equal distance from previous prime (490540781) and next prime (490540819).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 556360 + ... + 557240.

It is an arithmetic number, because the mean of its divisors is an integer number (7762090).

Almost surely, 2^490540800 is an apocalyptic number.

490540800 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 490540800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838305720).

490540800 is an abundant number, since it is smaller than the sum of its proper divisors (1186070640).

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

490540800 is a wasteful number, since it uses less digits than its factorization.

490540800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 939 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 490540800 is about 22148.1556794240. The cubic root of 490540800 is about 788.6634453190.

Adding to 490540800 its reverse (8045094), we get a palindrome (498585894).

The spelling of 490540800 in words is "four hundred ninety million, five hundred forty thousand, eight hundred".