450092178821376 has 1215 divisors, whose sum is σ = 1691586633246741. Its totient is φ = 118632309239808.

The previous prime is 450092178821371. The next prime is 450092178821377. The reversal of 450092178821376 is 673128871290054.

The square root of 450092178821376 is 21215376.

It is a perfect power (a square), and thus also a powerful number.

450092178821376 is a `hidden beast` number, since 4 + 5 + 0 + 0 + 92 + 178 + 8 + 2 + 1 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 66581683257600 + 383510495563776 = 8159760^2 + 19583424^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (450092178821371) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 278006286295 + ... + 278006287913.

It is a 2-persistent number, because it is pandigital, and so is 2⋅450092178821376 = 900184357642752, but 3⋅450092178821376 = 1350276536464128 is not.

Almost surely, 2^{450092178821376} is an apocalyptic number.

450092178821376 is the 21215376-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450092178821376

450092178821376 is an abundant number, since it is smaller than the sum of its proper divisors (1241494454425365).

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

450092178821376 is an frugal number, since it uses more digits than its factorization.

450092178821376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3306 (or 1644 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 450092178821376 in words is "four hundred fifty trillion, ninety-two billion, one hundred seventy-eight million, eight hundred twenty-one thousand, three hundred seventy-six".