1481204736 has 264 divisors, whose sum is σ = 4917712800. Its totient is φ = 424673280.

The previous prime is 1481204677. The next prime is 1481204741. The reversal of 1481204736 is 6374021841.

It is a tau number, because it is divible by the number of its divisors (264).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1481204736.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1925760 + ... + 1926528.

It is an arithmetic number, because the mean of its divisors is an integer number (18627700).

Almost surely, 2^1481204736 is an apocalyptic number.

1481204736 is a gapful number since it is divisible by the number (16) 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 1481204736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458856400).

1481204736 is an abundant number, since it is smaller than the sum of its proper divisors (3436508064).

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

1481204736 is a wasteful number, since it uses less digits than its factorization.

1481204736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 804 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 1481204736 is about 38486.4227488084. The cubic root of 1481204736 is about 1139.9129758131.

The spelling of 1481204736 in words is "one billion, four hundred eighty-one million, two hundred four thousand, seven hundred thirty-six".