454040928 has 144 divisors (see below), whose sum is σ = 1416647232. Its totient is φ = 136800000.

The previous prime is 454040927. The next prime is 454040933. The reversal of 454040928 is 829040454.

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

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 = 454040892 and 454040901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (454040927) 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, 794883 + ... + 795453.

It is an arithmetic number, because the mean of its divisors is an integer number (9837828).

Almost surely, 2^454040928 is an apocalyptic number.

454040928 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 454040928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (708323616).

454040928 is an abundant number, since it is smaller than the sum of its proper divisors (962606304).

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

454040928 is a wasteful number, since it uses less digits than its factorization.

454040928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 849 (or 838 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 454040928 is about 21308.2361541259. The cubic root of 454040928 is about 768.5963792184.

The spelling of 454040928 in words is "four hundred fifty-four million, forty thousand, nine hundred twenty-eight".