1481294304 has 360 divisors, whose sum is σ = 5161990680. Its totient is φ = 415425024.

The previous prime is 1481294281. The next prime is 1481294317. The reversal of 1481294304 is 4034921841.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 13589802 + ... + 13589910.

It is an arithmetic number, because the mean of its divisors is an integer number (14338863).

Almost surely, 2^1481294304 is an apocalyptic number.

1481294304 is a gapful number since it is divisible by the number (14) 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 1481294304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2580995340).

1481294304 is an abundant number, since it is smaller than the sum of its proper divisors (3680696376).

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

1481294304 is a wasteful number, since it uses less digits than its factorization.

1481294304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1481294304 is about 38487.5863623584. The cubic root of 1481294304 is about 1139.9359520804.

The spelling of 1481294304 in words is "one billion, four hundred eighty-one million, two hundred ninety-four thousand, three hundred four".