1488600 has 72 divisors (see below), whose sum is σ = 5005260. Its totient is φ = 396480.

The previous prime is 1488581. The next prime is 1488607. The reversal of 1488600 is 68841.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a nialpdrome in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1488607) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1387 + ... + 2213.

2^1488600 is an apocalyptic number.

1488600 is a gapful number since it is divisible by the number (10) 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 1488600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2502630).

1488600 is an abundant number, since it is smaller than the sum of its proper divisors (3516660).

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

1488600 is a wasteful number, since it uses less digits than its factorization.

1488600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1488600 is about 1220.0819644598. The cubic root of 1488600 is about 114.1806922107.

It can be divided in two parts, 1 and 488600, that added together give a square (488601 = 699²).

The spelling of 1488600 in words is "one million, four hundred eighty-eight thousand, six hundred".