451979152 has 40 divisors (see below), whose sum is σ = 908301240. Its totient is φ = 217620480.

The previous prime is 451979137. The next prime is 451979183. The reversal of 451979152 is 251979154.

It can be written as a sum of positive squares in 4 ways, for example, as 1860496 + 450118656 = 1364^2 + 21216^2 .

It is a junction number, because it is equal to n+sod(n) for n = 451979099 and 451979108.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 212848 + ... + 214960.

It is an arithmetic number, because the mean of its divisors is an integer number (22707531).

Almost surely, 2^451979152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 451979152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454150620).

451979152 is an abundant number, since it is smaller than the sum of its proper divisors (456322088).

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

451979152 is a wasteful number, since it uses less digits than its factorization.

451979152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2611 (or 2605 counting only the distinct ones).

The product of its digits is 113400, while the sum is 43.

The square root of 451979152 is about 21259.8013160989. The cubic root of 451979152 is about 767.4312285460.

The spelling of 451979152 in words is "four hundred fifty-one million, nine hundred seventy-nine thousand, one hundred fifty-two".