1481598720 has 432 divisors, whose sum is σ = 6173207040. Its totient is φ = 320495616.

The previous prime is 1481598691. The next prime is 1481598757. The reversal of 1481598720 is 278951841.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1531677 + ... + 1532643.

Almost surely, 2^1481598720 is an apocalyptic number.

1481598720 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 1481598720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3086603520).

1481598720 is an abundant number, since it is smaller than the sum of its proper divisors (4691608320).

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

1481598720 is a wasteful number, since it uses less digits than its factorization.

1481598720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The square root of 1481598720 is about 38491.5408888758. The cubic root of 1481598720 is about 1140.0140349149.

The spelling of 1481598720 in words is "one billion, four hundred eighty-one million, five hundred ninety-eight thousand, seven hundred twenty".