454459104 has 144 divisors (see below), whose sum is σ = 1419949440. Its totient is φ = 136730880.

The previous prime is 454459099. The next prime is 454459253. The reversal of 454459104 is 401954454.

454459104 is a `hidden beast` number, since 4 + 544 + 5 + 9 + 104 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 528627 + ... + 529485.

It is an arithmetic number, because the mean of its divisors is an integer number (9860760).

Almost surely, 2^454459104 is an apocalyptic number.

454459104 is a gapful number since it is divisible by the number (44) 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 454459104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (709974720).

454459104 is an abundant number, since it is smaller than the sum of its proper divisors (965490336).

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

454459104 is a wasteful number, since it uses less digits than its factorization.

454459104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1042 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 454459104 is about 21318.0464395779. The cubic root of 454459104 is about 768.8322683323.

The spelling of 454459104 in words is "four hundred fifty-four million, four hundred fifty-nine thousand, one hundred four".