489560400 has 180 divisors, whose sum is σ = 1941712032. Its totient is φ = 111893760.

The previous prime is 489560399. The next prime is 489560447. The reversal of 489560400 is 4065984.

489560400 is a `hidden beast` number, since 48 + 9 + 5 + 604 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (180).

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

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 35 ways as a sum of consecutive naturals, for example, 15487 + ... + 34913.

Almost surely, 2^489560400 is an apocalyptic number.

489560400 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 489560400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (970856016).

489560400 is an abundant number, since it is smaller than the sum of its proper divisors (1452151632).

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

489560400 is a wasteful number, since it uses less digits than its factorization.

489560400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19458 (or 19444 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 489560400 is about 22126.0118412695. The cubic root of 489560400 is about 788.1376845486.

The spelling of 489560400 in words is "four hundred eighty-nine million, five hundred sixty thousand, four hundred".