1481814180 has 576 divisors, whose sum is σ = 6264760320. Its totient is φ = 273715200.

The previous prime is 1481814151. The next prime is 1481814193. The reversal of 1481814180 is 814181841.

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

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, 4476615 + ... + 4476945.

It is an arithmetic number, because the mean of its divisors is an integer number (10876320).

Almost surely, 2^1481814180 is an apocalyptic number.

1481814180 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 1481814180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132380160).

1481814180 is an abundant number, since it is smaller than the sum of its proper divisors (4782946140).

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

1481814180 is a wasteful number, since it uses less digits than its factorization.

1481814180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 36.

The square root of 1481814180 is about 38494.3395838921. The cubic root of 1481814180 is about 1140.0692940335.

The spelling of 1481814180 in words is "one billion, four hundred eighty-one million, eight hundred fourteen thousand, one hundred eighty".