450715104 has 120 divisors (see below), whose sum is σ = 1514964528. Its totient is φ = 128770560.

The previous prime is 450715079. The next prime is 450715117. The reversal of 450715104 is 401517054.

It is a happy number.

450715104 is a `hidden beast` number, since 4 + 507 + 151 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5724 + ... + 30564.

Almost surely, 2^450715104 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 450715104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757482264).

450715104 is an abundant number, since it is smaller than the sum of its proper divisors (1064249424).

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

450715104 is a wasteful number, since it uses less digits than its factorization.

450715104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24870 (or 24853 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 450715104 is about 21230.0519076144. The cubic root of 450715104 is about 766.7151367801.

The spelling of 450715104 in words is "four hundred fifty million, seven hundred fifteen thousand, one hundred four".