452379816 has 320 divisors, whose sum is σ = 1585584000. Its totient is φ = 117573120.

The previous prime is 452379799. The next prime is 452379827. The reversal of 452379816 is 618973254.

452379816 = 55³ + 56³ + ... + 206³.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2499246 + ... + 2499426.

It is an arithmetic number, because the mean of its divisors is an integer number (4954950).

Almost surely, 2^452379816 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 452379816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792792000).

452379816 is an abundant number, since it is smaller than the sum of its proper divisors (1133204184).

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

452379816 is a wasteful number, since it uses less digits than its factorization.

452379816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 241 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 452379816 is about 21269.2222706896. Note that the first 4 decimals coincide. The cubic root of 452379816 is about 767.6579287169.

The spelling of 452379816 in words is "four hundred fifty-two million, three hundred seventy-nine thousand, eight hundred sixteen".