452410920 has 320 divisors, whose sum is σ = 1712430720. Its totient is φ = 106292736.

The previous prime is 452410841. The next prime is 452410921. The reversal of 452410920 is 29014254.

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

It is not an unprimeable number, because it can be changed into a prime (452410921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 968527 + ... + 968993.

It is an arithmetic number, because the mean of its divisors is an integer number (5351346).

Almost surely, 2^452410920 is an apocalyptic number.

452410920 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 452410920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (856215360).

452410920 is an abundant number, since it is smaller than the sum of its proper divisors (1260019800).

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

452410920 is a wasteful number, since it uses less digits than its factorization.

452410920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 513 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 452410920 is about 21269.9534555203. The cubic root of 452410920 is about 767.6755221080.

It can be divided in two parts, 4524109 and 20, that added together give a square (4524129 = 2127²).

The spelling of 452410920 in words is "four hundred fifty-two million, four hundred ten thousand, nine hundred twenty".