452217920 has 112 divisors (see below), whose sum is σ = 1342631808. Its totient is φ = 140943360.

The previous prime is 452217893. The next prime is 452217929. The reversal of 452217920 is 29712254.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (452217929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15464 + ... + 33816.

It is an arithmetic number, because the mean of its divisors is an integer number (11987784).

Almost surely, 2^452217920 is an apocalyptic number.

452217920 is a gapful number since it is divisible by the number (40) 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 452217920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671315904).

452217920 is an abundant number, since it is smaller than the sum of its proper divisors (890413888).

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

452217920 is a wasteful number, since it uses less digits than its factorization.

452217920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18388 (or 18378 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 452217920 is about 21265.4160551822. The cubic root of 452217920 is about 767.5663422725.

The spelling of 452217920 in words is "four hundred fifty-two million, two hundred seventeen thousand, nine hundred twenty".