1480876992 has 336 divisors, whose sum is σ = 5136115712. Its totient is φ = 414305280.

The previous prime is 1480876973. The next prime is 1480877017. The reversal of 1480876992 is 2996780841.

1480876992 is a `hidden beast` number, since 1 + 480 + 8 + 76 + 9 + 92 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6640593 + ... + 6640815.

Almost surely, 2^1480876992 is an apocalyptic number.

1480876992 is a gapful number since it is divisible by the number (12) 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 1480876992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2568057856).

1480876992 is an abundant number, since it is smaller than the sum of its proper divisors (3655238720).

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

1480876992 is an equidigital number, since it uses as much as digits as its factorization.

1480876992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 1480876992 is about 38482.1645960827. The cubic root of 1480876992 is about 1139.8288939871.

The spelling of 1480876992 in words is "one billion, four hundred eighty million, eight hundred seventy-six thousand, nine hundred ninety-two".