450436896 has 384 divisors, whose sum is σ = 1717148160. Its totient is φ = 111476736.

The previous prime is 450436891. The next prime is 450436897. The reversal of 450436896 is 698634054.

It is a super-2 number, since 2×450436896² = 405786794556229632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (450436891) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1336440 + ... + 1336776.

It is an arithmetic number, because the mean of its divisors is an integer number (4471740).

Almost surely, 2^450436896 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 450436896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (858574080).

450436896 is an abundant number, since it is smaller than the sum of its proper divisors (1266711264).

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

450436896 is a wasteful number, since it uses less digits than its factorization.

450436896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 450436896 is about 21223.4986748180. The cubic root of 450436896 is about 766.5573503452.

The spelling of 450436896 in words is "four hundred fifty million, four hundred thirty-six thousand, eight hundred ninety-six".