920442432 has 224 divisors, whose sum is σ = 3026867200. Its totient is φ = 240371712.

The previous prime is 920442431. The next prime is 920442433. The reversal of 920442432 is 234244029.

920442432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (920442431) and next prime (920442433).

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 920442432.

It is not an unprimeable number, because it can be changed into a prime (920442431) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2428419 + ... + 2428797.

It is an arithmetic number, because the mean of its divisors is an integer number (13512800).

Almost surely, 2^920442432 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 920442432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1513433600).

920442432 is an abundant number, since it is smaller than the sum of its proper divisors (2106424768).

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

920442432 is a wasteful number, since it uses less digits than its factorization.

920442432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 553 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 920442432 is about 30338.7941751151. The cubic root of 920442432 is about 972.7447086317.

The spelling of 920442432 in words is "nine hundred twenty million, four hundred forty-two thousand, four hundred thirty-two".