452148480 has 540 divisors, whose sum is σ = 1903158180. Its totient is φ = 102187008.

The previous prime is 452148469. The next prime is 452148493. The reversal of 452148480 is 84841254.

It can be written as a sum of positive squares in 2 ways, for example, as 122943744 + 329204736 = 11088^2 + 18144^2 .

It is a tau number, because it is divible by the number of its divisors (540).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5080276 + ... + 5080364.

It is an arithmetic number, because the mean of its divisors is an integer number (3524367).

Almost surely, 2^452148480 is an apocalyptic number.

452148480 is a gapful number since it is divisible by the number (40) 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 452148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951579090).

452148480 is an abundant number, since it is smaller than the sum of its proper divisors (1451009700).

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

452148480 is an equidigital number, since it uses as much as digits as its factorization.

452148480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 452148480 is about 21263.7832946068. The cubic root of 452148480 is about 767.5270525607.

The spelling of 452148480 in words is "four hundred fifty-two million, one hundred forty-eight thousand, four hundred eighty".