450345870 has 192 divisors, whose sum is σ = 1320568704. Its totient is φ = 105753600.

The previous prime is 450345853. The next prime is 450345893. The reversal of 450345870 is 78543054.

450345870 is a `hidden beast` number, since 45 + 0 + 34 + 587 + 0 = 666.

It is a super-2 number, since 2×450345870² = 405622805252113800, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4372239 + ... + 4372341.

It is an arithmetic number, because the mean of its divisors is an integer number (6877962).

Almost surely, 2^450345870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450345870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660284352).

450345870 is an abundant number, since it is smaller than the sum of its proper divisors (870222834).

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

450345870 is a wasteful number, since it uses less digits than its factorization.

450345870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 267 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 450345870 is about 21221.3541038266. The cubic root of 450345870 is about 766.5057105922.

The spelling of 450345870 in words is "four hundred fifty million, three hundred forty-five thousand, eight hundred seventy".