1045388640 has 192 divisors, whose sum is σ = 3461875200. Its totient is φ = 265160192.

The previous prime is 1045388611. The next prime is 1045388671. The reversal of 1045388640 is 468835401.

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 31 ways as a sum of consecutive naturals, for example, 5840071 + ... + 5840249.

It is an arithmetic number, because the mean of its divisors is an integer number (18030600).

Almost surely, 2^1045388640 is an apocalyptic number.

1045388640 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 1045388640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1730937600).

1045388640 is an abundant number, since it is smaller than the sum of its proper divisors (2416486560).

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

1045388640 is an equidigital number, since it uses as much as digits as its factorization.

1045388640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 1045388640 is about 32332.4703664907. The cubic root of 1045388640 is about 1014.9062464465.

The spelling of 1045388640 in words is "one billion, forty-five million, three hundred eighty-eight thousand, six hundred forty".