1481252160 has 336 divisors, whose sum is σ = 5277551040. Its totient is φ = 350945280.

The previous prime is 1481252119. The next prime is 1481252161. The reversal of 1481252160 is 612521841.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1481252161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5271220 + ... + 5271500.

Almost surely, 2^1481252160 is an apocalyptic number.

1481252160 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 1481252160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2638775520).

1481252160 is an abundant number, since it is smaller than the sum of its proper divisors (3796298880).

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

1481252160 is a wasteful number, since it uses less digits than its factorization.

1481252160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1481252160 is about 38487.0388572569. The cubic root of 1481252160 is about 1139.9251412833.

The spelling of 1481252160 in words is "one billion, four hundred eighty-one million, two hundred fifty-two thousand, one hundred sixty".