464055345 has 64 divisors (see below), whose sum is σ = 898732800. Its totient is φ = 225815040.

The previous prime is 464055331. The next prime is 464055359. The reversal of 464055345 is 543550464.

464055345 is a `hidden beast` number, since 4 + 64 + 0 + 553 + 45 = 666.

It is an interprime number because it is at equal distance from previous prime (464055331) and next prime (464055359).

It is not a de Polignac number, because 464055345 - 2⁶ = 464055281 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 154710 + ... + 157680.

It is an arithmetic number, because the mean of its divisors is an integer number (14042700).

Almost surely, 2^464055345 is an apocalyptic number.

464055345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

464055345 is a deficient number, since it is larger than the sum of its proper divisors (434677455).

464055345 is a wasteful number, since it uses less digits than its factorization.

464055345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3081 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The square root of 464055345 is about 21541.9438537937. The cubic root of 464055345 is about 774.2061076012.

The spelling of 464055345 in words is "four hundred sixty-four million, fifty-five thousand, three hundred forty-five".