1481268960 has 288 divisors, whose sum is σ = 5307120000. Its totient is φ = 375717888.

The previous prime is 1481268959. The next prime is 1481268961. The reversal of 1481268960 is 698621841.

It is an interprime number because it is at equal distance from previous prime (1481268959) and next prime (1481268961).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481268961) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3298816 + ... + 3299264.

It is an arithmetic number, because the mean of its divisors is an integer number (18427500).

Almost surely, 2^1481268960 is an apocalyptic number.

1481268960 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 1481268960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2653560000).

1481268960 is an abundant number, since it is smaller than the sum of its proper divisors (3825851040).

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

1481268960 is a wasteful number, since it uses less digits than its factorization.

1481268960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 567 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1481268960 is about 38487.2571119325. The cubic root of 1481268960 is about 1139.9294508511.

The spelling of 1481268960 in words is "one billion, four hundred eighty-one million, two hundred sixty-eight thousand, nine hundred sixty".