490702800 has 120 divisors (see below), whose sum is σ = 1796470336. Its totient is φ = 112158720.

The previous prime is 490702789. The next prime is 490702811. The reversal of 490702800 is 8207094.

It is an interprime number because it is at equal distance from previous prime (490702789) and next prime (490702811).

It is a tau number, because it is divible by the number of its divisors (120).

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 (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20809 + ... + 37608.

Almost surely, 2^490702800 is an apocalyptic number.

490702800 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

490702800 is an abundant number, since it is smaller than the sum of its proper divisors (1305767536).

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

490702800 is a wasteful number, since it uses less digits than its factorization.

490702800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58445 (or 58434 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 490702800 is about 22151.8125669210. The cubic root of 490702800 is about 788.7502538754.

Adding to 490702800 its reverse (8207094), we get a palindrome (498909894).

The spelling of 490702800 in words is "four hundred ninety million, seven hundred two thousand, eight hundred".