1044096480 has 480 divisors, whose sum is σ = 4465492416. Its totient is φ = 224280576.

The previous prime is 1044096479. The next prime is 1044096499. The reversal of 1044096480 is 846904401.

It is a happy number.

1044096480 is a `hidden beast` number, since 1 + 0 + 4 + 4 + 0 + 9 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1541902 + ... + 1542578.

Almost surely, 2^1044096480 is an apocalyptic number.

1044096480 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 1044096480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2232746208).

1044096480 is an abundant number, since it is smaller than the sum of its proper divisors (3421395936).

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

1044096480 is a wasteful number, since it uses less digits than its factorization.

1044096480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 711 counting only the distinct ones).

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

The square root of 1044096480 is about 32312.4817988343. The cubic root of 1044096480 is about 1014.4879133638.

It can be divided in two parts, 104409 and 6480, that added together give a square (110889 = 333²).

The spelling of 1044096480 in words is "one billion, forty-four million, ninety-six thousand, four hundred eighty".