920432214 has 128 divisors (see below), whose sum is σ = 2278886400. Its totient is φ = 273611520.

The previous prime is 920432213. The next prime is 920432221. The reversal of 920432214 is 412234029.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920432213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2940522 + ... + 2940834.

It is an arithmetic number, because the mean of its divisors is an integer number (17803800).

Almost surely, 2^920432214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 920432214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1139443200).

920432214 is an abundant number, since it is smaller than the sum of its proper divisors (1358454186).

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

920432214 is a wasteful number, since it uses less digits than its factorization.

920432214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 920432214 is about 30338.6257763927. The cubic root of 920432214 is about 972.7411090794.

The spelling of 920432214 in words is "nine hundred twenty million, four hundred thirty-two thousand, two hundred fourteen".