1487509920 has 432 divisors, whose sum is σ = 5728642920. Its totient is φ = 362797056.

The previous prime is 1487509897. The next prime is 1487509973. The reversal of 1487509920 is 299057841.

It can be written as a sum of positive squares in 4 ways, for example, as 1070860176 + 416649744 = 32724^2 + 20412^2 .

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13646826 + ... + 13646934.

Almost surely, 2^1487509920 is an apocalyptic number.

1487509920 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 1487509920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2864321460).

1487509920 is an abundant number, since it is smaller than the sum of its proper divisors (4241133000).

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

1487509920 is an equidigital number, since it uses as much as digits as its factorization.

1487509920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1487509920 is about 38568.2501547581. The cubic root of 1487509920 is about 1141.5281445469.

The spelling of 1487509920 in words is "one billion, four hundred eighty-seven million, five hundred nine thousand, nine hundred twenty".