454927872 has 160 divisors (see below), whose sum is σ = 1433836800. Its totient is φ = 125411328.

The previous prime is 454927867. The next prime is 454927919. The reversal of 454927872 is 278729454.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311079 + ... + 312537.

It is an arithmetic number, because the mean of its divisors is an integer number (8961480).

Almost surely, 2^454927872 is an apocalyptic number.

454927872 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 454927872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716918400).

454927872 is an abundant number, since it is smaller than the sum of its proper divisors (978908928).

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

454927872 is a wasteful number, since it uses less digits than its factorization.

454927872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1500 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 48.

The square root of 454927872 is about 21329.0382342946. The cubic root of 454927872 is about 769.0965239535.

The spelling of 454927872 in words is "four hundred fifty-four million, nine hundred twenty-seven thousand, eight hundred seventy-two".