454051728 has 120 divisors (see below), whose sum is σ = 1391994240. Its totient is φ = 137306880.

The previous prime is 454051687. The next prime is 454051729. The reversal of 454051728 is 827150454.

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

It is a junction number, because it is equal to n+sod(n) for n = 454051692 and 454051701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454051729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108393 + ... + 112503.

It is an arithmetic number, because the mean of its divisors is an integer number (11599952).

Almost surely, 2^454051728 is an apocalyptic number.

454051728 is a gapful number since it is divisible by the number (48) 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 454051728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695997120).

454051728 is an abundant number, since it is smaller than the sum of its proper divisors (937942512).

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

454051728 is a wasteful number, since it uses less digits than its factorization.

454051728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4197 (or 4188 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 454051728 is about 21308.4895757536. The cubic root of 454051728 is about 768.6024732176.

The spelling of 454051728 in words is "four hundred fifty-four million, fifty-one thousand, seven hundred twenty-eight".