1486545984 has 336 divisors, whose sum is σ = 5375550336. Its totient is φ = 384721920.

The previous prime is 1486545967. The next prime is 1486546021. The reversal of 1486545984 is 4895456841.

1486545984 is a `hidden beast` number, since 1 + 4 + 8 + 6 + 545 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

Its product of digits (5529600) is a multiple of the sum of its prime divisors (300).

It is a self number, because there is not a number n which added to its sum of digits gives 1486545984.

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, 5366454 + ... + 5366730.

Almost surely, 2^1486545984 is an apocalyptic number.

1486545984 is a gapful number since it is divisible by the number (14) 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 1486545984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687775168).

1486545984 is an abundant number, since it is smaller than the sum of its proper divisors (3889004352).

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

1486545984 is a wasteful number, since it uses less digits than its factorization.

1486545984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 300 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 54.

The square root of 1486545984 is about 38555.7516331870. The cubic root of 1486545984 is about 1141.2815136215.

The spelling of 1486545984 in words is "one billion, four hundred eighty-six million, five hundred forty-five thousand, nine hundred eighty-four".