452416464 has 60 divisors (see below), whose sum is σ = 1300372996. Its totient is φ = 146727936.

The previous prime is 452416457. The next prime is 452416499. The reversal of 452416464 is 464614254.

452416464 is a `hidden beast` number, since 4 + 5 + 2 + 4 + 1 + 646 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 256640400 + 195776064 = 16020^2 + 13992^2 .

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37129 + ... + 47784.

Almost surely, 2^452416464 is an apocalyptic number.

It is an amenable number.

452416464 is an abundant number, since it is smaller than the sum of its proper divisors (847956532).

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

452416464 is a wasteful number, since it uses less digits than its factorization.

452416464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84964 (or 84955 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 452416464 is about 21270.0837798068. The cubic root of 452416464 is about 767.6786578824.

The spelling of 452416464 in words is "four hundred fifty-two million, four hundred sixteen thousand, four hundred sixty-four".