1487980800 has 432 divisors, whose sum is σ = 5576032000. Its totient is φ = 388177920.

The previous prime is 1487980787. The next prime is 1487980817. The reversal of 1487980800 is 80897841.

1487980800 is a `hidden beast` number, since 1 + 487 + 98 + 0 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a super-2 number, since 2×1487980800² = 4428173722337280000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13651146 + ... + 13651254.

Almost surely, 2^1487980800 is an apocalyptic number.

1487980800 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 1487980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2788016000).

1487980800 is an abundant number, since it is smaller than the sum of its proper divisors (4088051200).

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

1487980800 is a wasteful number, since it uses less digits than its factorization.

1487980800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The square root of 1487980800 is about 38574.3541747623. The cubic root of 1487980800 is about 1141.6485843182.

The spelling of 1487980800 in words is "one billion, four hundred eighty-seven million, nine hundred eighty thousand, eight hundred".