450497376 has 180 divisors, whose sum is σ = 1541645028. Its totient is φ = 128677248.

The previous prime is 450497371. The next prime is 450497387. The reversal of 450497376 is 673794054.

450497376 is a `hidden beast` number, since 4 + 504 + 9 + 73 + 76 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450497371) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 125235 + ... + 128781.

Almost surely, 2^450497376 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 450497376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (770822514).

450497376 is an abundant number, since it is smaller than the sum of its proper divisors (1091147652).

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

450497376 is a wasteful number, since it uses less digits than its factorization.

450497376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3559 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 450497376 is about 21224.9234627595. The cubic root of 450497376 is about 766.5916572697.

It can be divided in two parts, 45049 and 7376, that added together give a palindrome (52425).

The spelling of 450497376 in words is "four hundred fifty million, four hundred ninety-seven thousand, three hundred seventy-six".