450097956 has 144 divisors (see below), whose sum is σ = 1425540480. Its totient is φ = 116328960.

The previous prime is 450097927. The next prime is 450097957. The reversal of 450097956 is 659790054.

It is a happy number.

450097956 is a `hidden beast` number, since 4 + 500 + 97 + 9 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (450097957) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1100280 + ... + 1100688.

Almost surely, 2^450097956 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 450097956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712770240).

450097956 is an abundant number, since it is smaller than the sum of its proper divisors (975442524).

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

450097956 is a wasteful number, since it uses less digits than its factorization.

450097956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 450097956 is about 21215.5121550247. The cubic root of 450097956 is about 766.3650317719.

The spelling of 450097956 in words is "four hundred fifty million, ninety-seven thousand, nine hundred fifty-six".