4242466464 has 48 divisors (see below), whose sum is σ = 11140244640. Its totient is φ = 1413676800.

The previous prime is 4242466457. The next prime is 4242466469. The reversal of 4242466464 is 4646642424.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4242466469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 383442 + ... + 394350.

It is an arithmetic number, because the mean of its divisors is an integer number (232088430).

Almost surely, 2^4242466464 is an apocalyptic number.

It is an amenable number.

4242466464 is an abundant number, since it is smaller than the sum of its proper divisors (6897778176).

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

4242466464 is a wasteful number, since it uses less digits than its factorization.

4242466464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14973 (or 14965 counting only the distinct ones).

The product of its digits is 884736, while the sum is 42.

The square root of 4242466464 is about 65134.2188407906. The cubic root of 4242466464 is about 1618.8482470366.

The spelling of 4242466464 in words is "four billion, two hundred forty-two million, four hundred sixty-six thousand, four hundred sixty-four".