1084933440 has 280 divisors, whose sum is σ = 4064264160. Its totient is φ = 273964032.

The previous prime is 1084933403. The next prime is 1084933469. The reversal of 1084933440 is 443394801.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1084933395 and 1084933404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 491379 + ... + 493581.

Almost surely, 2^1084933440 is an apocalyptic number.

1084933440 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 1084933440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2032132080).

1084933440 is an abundant number, since it is smaller than the sum of its proper divisors (2979330720).

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

1084933440 is a wasteful number, since it uses less digits than its factorization.

1084933440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2251 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1084933440 is about 32938.3278264092. The cubic root of 1084933440 is about 1027.5454292877.

The spelling of 1084933440 in words is "one billion, eighty-four million, nine hundred thirty-three thousand, four hundred forty".