1120464576 has 420 divisors, whose sum is σ = 4225433256. Its totient is φ = 290304000.

The previous prime is 1120464571. The next prime is 1120464581. The reversal of 1120464576 is 6754640211.

1120464576 is a `hidden beast` number, since 1 + 1 + 2 + 0 + 4 + 645 + 7 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (1120464571) and next prime (1120464581).

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 1120464576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1120464571) by changing a digit.

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 59 ways as a sum of consecutive naturals, for example, 2793976 + ... + 2794376.

Almost surely, 2^1120464576 is an apocalyptic number.

1120464576 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 1120464576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2112716628).

1120464576 is an abundant number, since it is smaller than the sum of its proper divisors (3104968680).

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

1120464576 is a wasteful number, since it uses less digits than its factorization.

1120464576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1120464576 is about 33473.3412733178. The cubic root of 1120464576 is about 1038.6423902913.

The spelling of 1120464576 in words is "one billion, one hundred twenty million, four hundred sixty-four thousand, five hundred seventy-six".