1045716480 has 360 divisors, whose sum is σ = 3849581736. Its totient is φ = 272056320.

The previous prime is 1045716467. The next prime is 1045716493. The reversal of 1045716480 is 846175401.

It is a happy number.

1045716480 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 7 + 1 + 648 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1045716467) and next prime (1045716493).

It is a tau number, because it is divible by the number of its divisors (360).

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 (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25505260 + ... + 25505300.

Almost surely, 2^1045716480 is an apocalyptic number.

1045716480 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 1045716480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1924790868).

1045716480 is an abundant number, since it is smaller than the sum of its proper divisors (2803865256).

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

1045716480 is an frugal number, since it uses more digits than its factorization.

1045716480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1045716480 is about 32337.5397951050. The cubic root of 1045716480 is about 1015.0123288722.

The spelling of 1045716480 in words is "one billion, forty-five million, seven hundred sixteen thousand, four hundred eighty".