1481511200 has 72 divisors (see below), whose sum is σ = 3894977268. Its totient is φ = 547015680.

The previous prime is 1481511151. The next prime is 1481511217. The reversal of 1481511200 is 21151841.

It can be written as a sum of positive squares in 6 ways, for example, as 752295184 + 729216016 = 27428^2 + 27004^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60827 + ... + 81626.

Almost surely, 2^1481511200 is an apocalyptic number.

1481511200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1481511200 is an abundant number, since it is smaller than the sum of its proper divisors (2413466068).

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

1481511200 is a wasteful number, since it uses less digits than its factorization.

1481511200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142486 (or 142473 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 23.

The square root of 1481511200 is about 38490.4039989190. The cubic root of 1481511200 is about 1139.9915870929.

The spelling of 1481511200 in words is "one billion, four hundred eighty-one million, five hundred eleven thousand, two hundred".