487024800 has 144 divisors (see below), whose sum is σ = 1592835552. Its totient is φ = 129254400.

The previous prime is 487024799. The next prime is 487024801. The reversal of 487024800 is 8420784.

It is an interprime number because it is at equal distance from previous prime (487024799) and next prime (487024801).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (487024801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736470 + ... + 737130.

It is an arithmetic number, because the mean of its divisors is an integer number (11061358).

Almost surely, 2^487024800 is an apocalyptic number.

487024800 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 487024800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796417776).

487024800 is an abundant number, since it is smaller than the sum of its proper divisors (1105810752).

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

487024800 is a wasteful number, since it uses less digits than its factorization.

487024800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 991 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 487024800 is about 22068.6383811961. The cubic root of 487024800 is about 786.7746508218.

The spelling of 487024800 in words is "four hundred eighty-seven million, twenty-four thousand, eight hundred".