1481230800 has 540 divisors, whose sum is σ = 6220914336. Its totient is φ = 337478400.

The previous prime is 1481230771. The next prime is 1481230811. The reversal of 1481230800 is 80321841.

It is a tau number, because it is divible by the number of its divisors (540).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4762645 + ... + 4762955.

Almost surely, 2^1481230800 is an apocalyptic number.

1481230800 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 1481230800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3110457168).

1481230800 is an abundant number, since it is smaller than the sum of its proper divisors (4739683536).

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

1481230800 is a wasteful number, since it uses less digits than its factorization.

1481230800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 1481230800 is about 38486.7613602392. The cubic root of 1481230800 is about 1139.9196619286.

The spelling of 1481230800 in words is "one billion, four hundred eighty-one million, two hundred thirty thousand, eight hundred".