464093064 has 224 divisors, whose sum is σ = 1435415040. Its totient is φ = 139968000.

The previous prime is 464093059. The next prime is 464093083. The reversal of 464093064 is 460390464.

464093064 is a `hidden beast` number, since 4 + 640 + 9 + 3 + 0 + 6 + 4 = 666.

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

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 55 ways as a sum of consecutive naturals, for example, 3073389 + ... + 3073539.

Almost surely, 2^464093064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 464093064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717707520).

464093064 is an abundant number, since it is smaller than the sum of its proper divisors (971321976).

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

464093064 is a wasteful number, since it uses less digits than its factorization.

464093064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 464093064 is about 21542.8193141009. The cubic root of 464093064 is about 774.2270831805.

The spelling of 464093064 in words is "four hundred sixty-four million, ninety-three thousand, sixty-four".