452164240 has 80 divisors (see below), whose sum is σ = 1164121920. Its totient is φ = 161948160.

The previous prime is 452164231. The next prime is 452164241. The reversal of 452164240 is 42461254.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 452164199 and 452164208.

It is not an unprimeable number, because it can be changed into a prime (452164241) 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, 55126 + ... + 62794.

It is an arithmetic number, because the mean of its divisors is an integer number (14551524).

Almost surely, 2^452164240 is an apocalyptic number.

452164240 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 452164240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (582060960).

452164240 is an abundant number, since it is smaller than the sum of its proper divisors (711957680).

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

452164240 is a wasteful number, since it uses less digits than its factorization.

452164240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7760 (or 7754 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 452164240 is about 21264.1538745373. The cubic root of 452164240 is about 767.5359700486.

The spelling of 452164240 in words is "four hundred fifty-two million, one hundred sixty-four thousand, two hundred forty".