1034788440 has 256 divisors, whose sum is σ = 3713817600. Its totient is φ = 225662976.

The previous prime is 1034788409. The next prime is 1034788457. The reversal of 1034788440 is 448874301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2606322 + ... + 2606718.

It is an arithmetic number, because the mean of its divisors is an integer number (14507100).

Almost surely, 2^1034788440 is an apocalyptic number.

1034788440 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 1034788440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856908800).

1034788440 is an abundant number, since it is smaller than the sum of its proper divisors (2679029160).

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

1034788440 is a wasteful number, since it uses less digits than its factorization.

1034788440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The square root of 1034788440 is about 32168.1277042976. The cubic root of 1034788440 is about 1011.4642161736.

The spelling of 1034788440 in words is "one billion, thirty-four million, seven hundred eighty-eight thousand, four hundred forty".