452460960 has 144 divisors (see below), whose sum is σ = 1764637056. Its totient is φ = 103417344.

The previous prime is 452460937. The next prime is 452460989. The reversal of 452460960 is 69064254.

452460960 is a `hidden beast` number, since 45 + 2 + 4 + 609 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12364 + ... + 32523.

It is an arithmetic number, because the mean of its divisors is an integer number (12254424).

Almost surely, 2^452460960 is an apocalyptic number.

452460960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

452460960 is an abundant number, since it is smaller than the sum of its proper divisors (1312176096).

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

452460960 is a wasteful number, since it uses less digits than its factorization.

452460960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44915 (or 44904 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 452460960 is about 21271.1297302235. The cubic root of 452460960 is about 767.7038245982.

The spelling of 452460960 in words is "four hundred fifty-two million, four hundred sixty thousand, nine hundred sixty".