1481338800 has 240 divisors, whose sum is σ = 5550736000. Its totient is φ = 374181120.

The previous prime is 1481338799. The next prime is 1481338801. The reversal of 1481338800 is 88331841.

1481338800 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (1481338799) and next prime (1481338801).

It is a tau number, because it is divible by the number of its divisors (240).

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 (1481338801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201591 + ... + 208809.

Almost surely, 2^1481338800 is an apocalyptic number.

1481338800 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 1481338800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2775368000).

1481338800 is an abundant number, since it is smaller than the sum of its proper divisors (4069397200).

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

1481338800 is a wasteful number, since it uses less digits than its factorization.

1481338800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7265 (or 7248 counting only the distinct ones).

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

The square root of 1481338800 is about 38488.1644145314. The cubic root of 1481338800 is about 1139.9473659910.

The spelling of 1481338800 in words is "one billion, four hundred eighty-one million, three hundred thirty-eight thousand, eight hundred".