4456454400 has 162 divisors, whose sum is σ = 15933036210. Its totient is φ = 1188372480.

The previous prime is 4456454363. The next prime is 4456454417. The reversal of 4456454400 is 44546544.

4456454400 is a `hidden beast` number, since 4 + 4 + 5 + 645 + 4 + 4 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 43243776 + 4413210624 = 6576^2 + 66432^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 18916 + ... + 96284.

Almost surely, 2^4456454400 is an apocalyptic number.

4456454400 is a gapful number since it is divisible by the number (40) 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 4456454400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7966518105).

4456454400 is an abundant number, since it is smaller than the sum of its proper divisors (11476581810).

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

4456454400 is a wasteful number, since it uses less digits than its factorization.

4456454400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77401 (or 77379 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 4456454400 is about 66756.6805645697. The cubic root of 4456454400 is about 1645.6210057910.

The spelling of 4456454400 in words is "four billion, four hundred fifty-six million, four hundred fifty-four thousand, four hundred".