489964800 has 324 divisors, whose sum is σ = 1762533024. Its totient is φ = 119808000.

The previous prime is 489964793. The next prime is 489964829. The reversal of 489964800 is 8469984.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 489964800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3244725 + ... + 3244875.

Almost surely, 2^489964800 is an apocalyptic number.

489964800 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 489964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881266512).

489964800 is an abundant number, since it is smaller than the sum of its proper divisors (1272568224).

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

489964800 is a wasteful number, since it uses less digits than its factorization.

489964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 489964800 is about 22135.1485199445. The cubic root of 489964800 is about 788.3546377987.

The spelling of 489964800 in words is "four hundred eighty-nine million, nine hundred sixty-four thousand, eight hundred".