450629376 has 72 divisors (see below), whose sum is σ = 1240748880. Its totient is φ = 145022976.

The previous prime is 450629371. The next prime is 450629393. The reversal of 450629376 is 673926054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450629371) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12156 + ... + 32388.

Almost surely, 2^450629376 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 450629376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620374440).

450629376 is an abundant number, since it is smaller than the sum of its proper divisors (790119504).

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

450629376 is a wasteful number, since it uses less digits than its factorization.

450629376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20281 (or 20267 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 450629376 is about 21228.0327868599. The cubic root of 450629376 is about 766.6665228313. Note that the first 3 decimals are identical.

The spelling of 450629376 in words is "four hundred fifty million, six hundred twenty-nine thousand, three hundred seventy-six".