450198756 has 96 divisors (see below), whose sum is σ = 1342772480. Its totient is φ = 127775232.

The previous prime is 450198751. The next prime is 450198769. The reversal of 450198756 is 657891054.

450198756 is a `hidden beast` number, since 4 + 501 + 98 + 7 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (450198751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 116796 + ... + 120588.

Almost surely, 2^450198756 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 450198756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (671386240).

450198756 is an abundant number, since it is smaller than the sum of its proper divisors (892573724).

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

450198756 is a wasteful number, since it uses less digits than its factorization.

450198756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3970 (or 3962 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 450198756 is about 21217.8876422701. The cubic root of 450198756 is about 766.4222369707.

The spelling of 450198756 in words is "four hundred fifty million, one hundred ninety-eight thousand, seven hundred fifty-six".