450838604160 has 384 divisors, whose sum is σ = 1857412533600. Its totient is φ = 103048630272.

The previous prime is 450838604137. The next prime is 450838604173. The reversal of 450838604160 is 61406838054.

450838604160 is a `hidden beast` number, since 4 + 5 + 0 + 8 + 38 + 604 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580494 + ... + 1112946.

Almost surely, 2^450838604160 is an apocalyptic number.

450838604160 is a gapful number since it is divisible by the number (40) 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 450838604160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (928706266800).

450838604160 is an abundant number, since it is smaller than the sum of its proper divisors (1406573929440).

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

450838604160 is a wasteful number, since it uses less digits than its factorization.

450838604160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 532495 (or 532470 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 450838604160 in words is "four hundred fifty billion, eight hundred thirty-eight million, six hundred four thousand, one hundred sixty".