934489920 has 448 divisors, whose sum is σ = 3850721280. Its totient is φ = 186458112.

The previous prime is 934489909. The next prime is 934489961. The reversal of 934489920 is 29984439.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 934489920.

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, 1659559 + ... + 1660121.

It is an arithmetic number, because the mean of its divisors is an integer number (8595360).

Almost surely, 2^934489920 is an apocalyptic number.

934489920 is the 24960-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 934489920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1925360640).

934489920 is an abundant number, since it is smaller than the sum of its proper divisors (2916231360).

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

934489920 is a wasteful number, since it uses less digits than its factorization.

934489920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The square root of 934489920 is about 30569.4278651073. The cubic root of 934489920 is about 977.6683148045.

The spelling of 934489920 in words is "nine hundred thirty-four million, four hundred eighty-nine thousand, nine hundred twenty".