1481793320 has 96 divisors (see below), whose sum is σ = 3895701480. Its totient is φ = 505774080.

The previous prime is 1481793317. The next prime is 1481793323. The reversal of 1481793320 is 233971841.

It is an interprime number because it is at equal distance from previous prime (1481793317) and next prime (1481793323).

It can be written as a sum of positive squares in 4 ways, for example, as 1479017764 + 2775556 = 38458^2 + 1666^2 .

It is a super-2 number, since 2×1481793320² = 4391422886393244800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1481793323) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 470792 + ... + 473928.

Almost surely, 2^1481793320 is an apocalyptic number.

1481793320 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 1481793320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947850740).

1481793320 is an abundant number, since it is smaller than the sum of its proper divisors (2413908160).

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

1481793320 is a wasteful number, since it uses less digits than its factorization.

1481793320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3403 (or 3392 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 1481793320 is about 38494.0686340117. The cubic root of 1481793320 is about 1140.0639442946.

The spelling of 1481793320 in words is "one billion, four hundred eighty-one million, seven hundred ninety-three thousand, three hundred twenty".