487468800 has 864 divisors, whose sum is σ = 2270965760. Its totient is φ = 99532800.

The previous prime is 487468777. The next prime is 487468811. The reversal of 487468800 is 8864784.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15724785 + ... + 15724815.

Almost surely, 2^487468800 is an apocalyptic number.

487468800 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 487468800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1135482880).

487468800 is an abundant number, since it is smaller than the sum of its proper divisors (1783496960).

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

487468800 is a wasteful number, since it uses less digits than its factorization.

487468800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 487468800 is about 22078.6956136453. The cubic root of 487468800 is about 787.0136679744.

The spelling of 487468800 in words is "four hundred eighty-seven million, four hundred sixty-eight thousand, eight hundred".