464416641 has 24 divisors (see below), whose sum is σ = 739234496. Its totient is φ = 279145440.

The previous prime is 464416619. The next prime is 464416649. The reversal of 464416641 is 146614464.

464416641 is a `hidden beast` number, since 4 + 6 + 4 + 4 + 1 + 6 + 641 = 666.

It is not a de Polignac number, because 464416641 - 2⁹ = 464416129 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 464416596 and 464416605.

It is not an unprimeable number, because it can be changed into a prime (464416649) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 41125 + ... + 51186.

Almost surely, 2^464416641 is an apocalyptic number.

It is an amenable number.

464416641 is a deficient number, since it is larger than the sum of its proper divisors (274817855).

464416641 is a wasteful number, since it uses less digits than its factorization.

464416641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92373 (or 92370 counting only the distinct ones).

The product of its digits is 55296, while the sum is 36.

The square root of 464416641 is about 21550.3280949502. The cubic root of 464416641 is about 774.4069780446.

The spelling of 464416641 in words is "four hundred sixty-four million, four hundred sixteen thousand, six hundred forty-one".