452468016 has 480 divisors, whose sum is σ = 1763553792. Its totient is φ = 104509440.

The previous prime is 452467999. The next prime is 452468017. The reversal of 452468016 is 610864254.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (452468017) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6198156 + ... + 6198228.

Almost surely, 2^452468016 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 452468016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881776896).

452468016 is an abundant number, since it is smaller than the sum of its proper divisors (1311085776).

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

452468016 is a wasteful number, since it uses less digits than its factorization.

452468016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 452468016 is about 21271.2955881864. The cubic root of 452468016 is about 767.7078152851.

The spelling of 452468016 in words is "four hundred fifty-two million, four hundred sixty-eight thousand, sixteen".