452616480 has 288 divisors, whose sum is σ = 1655821440. Its totient is φ = 112250880.

The previous prime is 452616473. The next prime is 452616481. The reversal of 452616480 is 84616254.

452616480 is a `hidden beast` number, since 4 + 5 + 2 + 6 + 1 + 648 + 0 = 666.

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

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (452616481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1942444 + ... + 1942676.

It is an arithmetic number, because the mean of its divisors is an integer number (5749380).

Almost surely, 2^452616480 is an apocalyptic number.

452616480 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 452616480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (827910720).

452616480 is an abundant number, since it is smaller than the sum of its proper divisors (1203204960).

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

452616480 is a wasteful number, since it uses less digits than its factorization.

452616480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 452616480 is about 21274.7850752951. The cubic root of 452616480 is about 767.7917729758.

The spelling of 452616480 in words is "four hundred fifty-two million, six hundred sixteen thousand, four hundred eighty".