451478928 has 80 divisors (see below), whose sum is σ = 1238492160. Its totient is φ = 141232128.

The previous prime is 451478927. The next prime is 451478941. The reversal of 451478928 is 829874154.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (451478927) 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, 414801 + ... + 415887.

It is an arithmetic number, because the mean of its divisors is an integer number (15481152).

Almost surely, 2^451478928 is an apocalyptic number.

451478928 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 451478928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619246080).

451478928 is an abundant number, since it is smaller than the sum of its proper divisors (787013232).

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

451478928 is a wasteful number, since it uses less digits than its factorization.

451478928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624 (or 1618 counting only the distinct ones).

The product of its digits is 645120, while the sum is 48.

The square root of 451478928 is about 21248.0335090097. The cubic root of 451478928 is about 767.1480080879.

The spelling of 451478928 in words is "four hundred fifty-one million, four hundred seventy-eight thousand, nine hundred twenty-eight".