450957696 has 128 divisors (see below), whose sum is σ = 1380802560. Its totient is φ = 127733760.

The previous prime is 450957677. The next prime is 450957697. The reversal of 450957696 is 696759054.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (450957697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 340716 + ... + 342036.

It is an arithmetic number, because the mean of its divisors is an integer number (10787520).

Almost surely, 2^450957696 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 450957696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690401280).

450957696 is an abundant number, since it is smaller than the sum of its proper divisors (929844864).

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

450957696 is a wasteful number, since it uses less digits than its factorization.

450957696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 51.

The square root of 450957696 is about 21235.7645494576. The cubic root of 450957696 is about 766.8526705172.

The spelling of 450957696 in words is "four hundred fifty million, nine hundred fifty-seven thousand, six hundred ninety-six".