1281669480 has 768 divisors, whose sum is σ = 5653670400. Its totient is φ = 258660864.

The previous prime is 1281669469. The next prime is 1281669517. The reversal of 1281669480 is 849661821.

1281669480 is a `hidden beast` number, since 1 + 2 + 8 + 166 + 9 + 480 = 666.

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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 55724749 + ... + 55724771.

It is an arithmetic number, because the mean of its divisors is an integer number (7361550).

Almost surely, 2^1281669480 is an apocalyptic number.

1281669480 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 1281669480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2826835200).

1281669480 is an abundant number, since it is smaller than the sum of its proper divisors (4372000920).

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

1281669480 is a wasteful number, since it uses less digits than its factorization.

1281669480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 53 counting only the distinct ones).

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

The square root of 1281669480 is about 35800.4117294760. The cubic root of 1281669480 is about 1086.2388900921.

It can be divided in two parts, 1281 and 669480, that added together give a square (670761 = 819²).

The spelling of 1281669480 in words is "one billion, two hundred eighty-one million, six hundred sixty-nine thousand, four hundred eighty".