454954752 has 144 divisors (see below), whose sum is σ = 1537742080. Its totient is φ = 129973248.

The previous prime is 454954751. The next prime is 454954763. The reversal of 454954752 is 257459454.

454954752 is a `hidden beast` number, since 4 + 54 + 9 + 547 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a junction number, because it is equal to n+sod(n) for n = 454954698 and 454954707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454954751) 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, 43683 + ... + 53085.

Almost surely, 2^454954752 is an apocalyptic number.

454954752 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 454954752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (768871040).

454954752 is an abundant number, since it is smaller than the sum of its proper divisors (1082787328).

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

454954752 is an equidigital number, since it uses as much as digits as its factorization.

454954752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9435 (or 9415 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The square root of 454954752 is about 21329.6683518521. The cubic root of 454954752 is about 769.1116713419. Note that the first 3 decimals are identical.

The spelling of 454954752 in words is "four hundred fifty-four million, nine hundred fifty-four thousand, seven hundred fifty-two".