452167680 has 192 divisors, whose sum is σ = 1485993600. Its totient is φ = 117309440.

The previous prime is 452167673. The next prime is 452167699. The reversal of 452167680 is 86761254.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×452167680² = 408911221673164800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1259341 + ... + 1259699.

It is an arithmetic number, because the mean of its divisors is an integer number (7739550).

Almost surely, 2^452167680 is an apocalyptic number.

452167680 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 452167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (742996800).

452167680 is an abundant number, since it is smaller than the sum of its proper divisors (1033825920).

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

452167680 is a wasteful number, since it uses less digits than its factorization.

452167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 452167680 is about 21264.2347616838. The cubic root of 452167680 is about 767.5379164778.

The spelling of 452167680 in words is "four hundred fifty-two million, one hundred sixty-seven thousand, six hundred eighty".