934681440 has 480 divisors, whose sum is σ = 3896121600. Its totient is φ = 183997440.

The previous prime is 934681409. The next prime is 934681477. The reversal of 934681440 is 44186439.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 49193751 + ... + 49193769.

It is an arithmetic number, because the mean of its divisors is an integer number (8116920).

Almost surely, 2^934681440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 934681440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1948060800).

934681440 is an abundant number, since it is smaller than the sum of its proper divisors (2961440160).

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

934681440 is a wasteful number, since it uses less digits than its factorization.

934681440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 934681440 is about 30572.5602460769. The cubic root of 934681440 is about 977.7350999891.

The spelling of 934681440 in words is "nine hundred thirty-four million, six hundred eighty-one thousand, four hundred forty".