1480717920 has 384 divisors, whose sum is σ = 5408363520. Its totient is φ = 337018880.

The previous prime is 1480717919. The next prime is 1480717921. The reversal of 1480717920 is 297170841.

It is an interprime number because it is at equal distance from previous prime (1480717919) and next prime (1480717921).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480717921) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 10808092 + ... + 10808228.

It is an arithmetic number, because the mean of its divisors is an integer number (14084280).

Almost surely, 2^1480717920 is an apocalyptic number.

1480717920 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 1480717920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2704181760).

1480717920 is an abundant number, since it is smaller than the sum of its proper divisors (3927645600).

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

1480717920 is a wasteful number, since it uses less digits than its factorization.

1480717920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 39.

The square root of 1480717920 is about 38480.0977129737. The cubic root of 1480717920 is about 1139.7880800290.

It can be divided in two parts, 1480 and 717920, that added together give a triangular number (719400 = T₁₁₉₉).

The spelling of 1480717920 in words is "one billion, four hundred eighty million, seven hundred seventeen thousand, nine hundred twenty".