450378952704 has 234 divisors, whose sum is σ = 1350983895560. Its totient is φ = 150117359616.

The previous prime is 450378952687. The next prime is 450378952747. The reversal of 450378952704 is 407259873054.

It is a happy number.

450378952704 is a `hidden beast` number, since 4 + 5 + 0 + 37 + 89 + 527 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26865477 + ... + 26882235.

Almost surely, 2^450378952704 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 450378952704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675491947780).

450378952704 is an abundant number, since it is smaller than the sum of its proper divisors (900604942856).

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

450378952704 is an frugal number, since it uses more digits than its factorization.

450378952704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16807 (or 16764 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 450378952704 in words is "four hundred fifty billion, three hundred seventy-eight million, nine hundred fifty-two thousand, seven hundred four".