452632320 has 288 divisors, whose sum is σ = 1836656640. Its totient is φ = 103403520.

The previous prime is 452632303. The next prime is 452632337. The reversal of 452632320 is 23236254.

452632320 is a `hidden beast` number, since 4 + 5 + 2 + 632 + 3 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (452632303) and next prime (452632337).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 240985 + ... + 242855.

It is an arithmetic number, because the mean of its divisors is an integer number (6377280).

Almost surely, 2^452632320 is an apocalyptic number.

452632320 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 452632320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918328320).

452632320 is an abundant number, since it is smaller than the sum of its proper divisors (1384024320).

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

452632320 is a wasteful number, since it uses less digits than its factorization.

452632320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 452632320 is about 21275.1573437190. The cubic root of 452632320 is about 767.8007295504.

Adding to 452632320 its reverse (23236254), we get a palindrome (475868574).

It can be divided in two parts, 45 and 2632320, that added together give a triangular number (2632365 = T₂₂₉₄).

The spelling of 452632320 in words is "four hundred fifty-two million, six hundred thirty-two thousand, three hundred twenty".