1045577120 has 48 divisors (see below), whose sum is σ = 2823061248. Its totient is φ = 358483200.

The previous prime is 1045577119. The next prime is 1045577167. The reversal of 1045577120 is 217755401.

1045577120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 465656 + ... + 467895.

It is an arithmetic number, because the mean of its divisors is an integer number (58813776).

Almost surely, 2^1045577120 is an apocalyptic number.

1045577120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1045577120 is an abundant number, since it is smaller than the sum of its proper divisors (1777484128).

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

1045577120 is an equidigital number, since it uses as much as digits as its factorization.

1045577120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933573 (or 933565 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 32.

The square root of 1045577120 is about 32335.3849520923. The cubic root of 1045577120 is about 1014.9672374907.

The spelling of 1045577120 in words is "one billion, forty-five million, five hundred seventy-seven thousand, one hundred twenty".