450104256 has 224 divisors, whose sum is σ = 1529364480. Its totient is φ = 127153152.

The previous prime is 450104251. The next prime is 450104261. The reversal of 450104256 is 652401054.

It is an interprime number because it is at equal distance from previous prime (450104251) and next prime (450104261).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450104251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1536046 + ... + 1536338.

It is an arithmetic number, because the mean of its divisors is an integer number (6827520).

Almost surely, 2^450104256 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 450104256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764682240).

450104256 is an abundant number, since it is smaller than the sum of its proper divisors (1079260224).

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

450104256 is a wasteful number, since it uses less digits than its factorization.

450104256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 450104256 is about 21215.6606307699. The cubic root of 450104256 is about 766.3686073470.

The spelling of 450104256 in words is "four hundred fifty million, one hundred four thousand, two hundred fifty-six".