1488520800 has 864 divisors, whose sum is σ = 6369592320. Its totient is φ = 335923200.

The previous prime is 1488520793. The next prime is 1488520823. The reversal of 1488520800 is 80258841.

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 (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 48016785 + ... + 48016815.

Almost surely, 2^1488520800 is an apocalyptic number.

1488520800 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 1488520800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3184796160).

1488520800 is an abundant number, since it is smaller than the sum of its proper divisors (4881071520).

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

1488520800 is a wasteful number, since it uses less digits than its factorization.

1488520800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 1488520800 is about 38581.3530089343. The cubic root of 1488520800 is about 1141.7866720485.

The spelling of 1488520800 in words is "one billion, four hundred eighty-eight million, five hundred twenty thousand, eight hundred".