1480993920 has 384 divisors, whose sum is σ = 6102570240. Its totient is φ = 323592192.

The previous prime is 1480993919. The next prime is 1480993937. The reversal of 1480993920 is 293990841.

It is a tau number, because it is divible by the number of its divisors (384).

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, 926562 + ... + 928158.

It is an arithmetic number, because the mean of its divisors is an integer number (15892110).

Almost surely, 2^1480993920 is an apocalyptic number.

1480993920 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 1480993920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3051285120).

1480993920 is an abundant number, since it is smaller than the sum of its proper divisors (4621576320).

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

1480993920 is a wasteful number, since it uses less digits than its factorization.

1480993920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1652 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 1480993920 is about 38483.6838153522. The cubic root of 1480993920 is about 1139.8588929687.

The spelling of 1480993920 in words is "one billion, four hundred eighty million, nine hundred ninety-three thousand, nine hundred twenty".