454075104 has 192 divisors, whose sum is σ = 1430618112. Its totient is φ = 123379200.

The previous prime is 454075099. The next prime is 454075189. The reversal of 454075104 is 401570454.

It is a super-2 number, since 2×454075104² = 412368400145221632, which contains 22 as substring.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1478919 + ... + 1479225.

It is an arithmetic number, because the mean of its divisors is an integer number (7451136).

Almost surely, 2^454075104 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 454075104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (715309056).

454075104 is an abundant number, since it is smaller than the sum of its proper divisors (976543008).

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

454075104 is a wasteful number, since it uses less digits than its factorization.

454075104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 421 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 454075104 is about 21309.0380824663. The cubic root of 454075104 is about 768.6156630093.

The spelling of 454075104 in words is "four hundred fifty-four million, seventy-five thousand, one hundred four".