488624000 has 64 divisors (see below), whose sum is σ = 1214881200. Its totient is φ = 195443200.

The previous prime is 488623999. The next prime is 488624009. The reversal of 488624000 is 426884.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (488624009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 731 + ... + 31269.

Almost surely, 2^488624000 is an apocalyptic number.

488624000 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 488624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607440600).

488624000 is an abundant number, since it is smaller than the sum of its proper divisors (726257200).

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

488624000 is an equidigital number, since it uses as much as digits as its factorization.

488624000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30568 (or 30546 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 32.

The square root of 488624000 is about 22104.8410987277. The cubic root of 488624000 is about 787.6348639437.

The spelling of 488624000 in words is "four hundred eighty-eight million, six hundred twenty-four thousand".