468252768 has 96 divisors (see below), whose sum is σ = 1324173312. Its totient is φ = 144460800.

The previous prime is 468252767. The next prime is 468252769. The reversal of 468252768 is 867252864.

It is an interprime number because it is at equal distance from previous prime (468252767) and next prime (468252769).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468252761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65028 + ... + 71868.

It is an arithmetic number, because the mean of its divisors is an integer number (13793472).

Almost surely, 2^468252768 is an apocalyptic number.

468252768 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468252768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662086656).

468252768 is an abundant number, since it is smaller than the sum of its proper divisors (855920544).

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

468252768 is a wasteful number, since it uses less digits than its factorization.

468252768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6908 (or 6900 counting only the distinct ones).

The product of its digits is 1290240, while the sum is 48.

The square root of 468252768 is about 21639.1489666299. The cubic root of 468252768 is about 776.5333599012.

The spelling of 468252768 in words is "four hundred sixty-eight million, two hundred fifty-two thousand, seven hundred sixty-eight".