486489600 has 360 divisors, whose sum is σ = 1800790992. Its totient is φ = 125337600.

The previous prime is 486489599. The next prime is 486489611. The reversal of 486489600 is 6984684.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

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, 4723149 + ... + 4723251.

Almost surely, 2^486489600 is an apocalyptic number.

486489600 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 486489600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (900395496).

486489600 is an abundant number, since it is smaller than the sum of its proper divisors (1314301392).

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

486489600 is a wasteful number, since it uses less digits than its factorization.

486489600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 486489600 is about 22056.5092433050. The cubic root of 486489600 is about 786.4863450846.

The spelling of 486489600 in words is "four hundred eighty-six million, four hundred eighty-nine thousand, six hundred".