1045569840 has 240 divisors, whose sum is σ = 3829612032. Its totient is φ = 235243008.

The previous prime is 1045569839. The next prime is 1045569851. The reversal of 1045569840 is 489655401.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1045569792 and 1045569801.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 787257 + ... + 788583.

Almost surely, 2^1045569840 is an apocalyptic number.

1045569840 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 1045569840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1914806016).

1045569840 is an abundant number, since it is smaller than the sum of its proper divisors (2784042192).

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

1045569840 is a wasteful number, since it uses less digits than its factorization.

1045569840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424 (or 1411 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 1045569840 is about 32335.2723817196. The cubic root of 1045569840 is about 1014.9648818607.

The spelling of 1045569840 in words is "one billion, forty-five million, five hundred sixty-nine thousand, eight hundred forty".