1481260608 has 280 divisors, whose sum is σ = 4646980800. Its totient is φ = 465841152.

The previous prime is 1481260607. The next prime is 1481260639. The reversal of 1481260608 is 8060621841.

1481260608 is a `hidden beast` number, since 1 + 48 + 1 + 2 + 6 + 0 + 608 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1481260607) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 8869741 + ... + 8869907.

It is an arithmetic number, because the mean of its divisors is an integer number (16596360).

Almost surely, 2^1481260608 is an apocalyptic number.

1481260608 is a gapful number since it is divisible by the number (18) 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 1481260608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323490400).

1481260608 is an abundant number, since it is smaller than the sum of its proper divisors (3165720192).

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

1481260608 is a wasteful number, since it uses less digits than its factorization.

1481260608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 1481260608 is about 38487.1486083342. The cubic root of 1481260608 is about 1139.9273083843.

The spelling of 1481260608 in words is "one billion, four hundred eighty-one million, two hundred sixty thousand, six hundred eight".