466368 has 56 divisors (see below), whose sum is σ = 1414272. Its totient is φ = 132864.

The previous prime is 466357. The next prime is 466369. The reversal of 466368 is 863664.

It is a tau number, because it is divible by the number of its divisors (56).

It is a super-2 number, since 2×466368² = 434998222848, which contains 22 as substring.

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

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 466368.

It is not an unprimeable number, because it can be changed into a prime (466369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1171 + ... + 1517.

2⁴⁶⁶³⁶⁸ is an apocalyptic number.

466368 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 466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (707136).

466368 is an abundant number, since it is smaller than the sum of its proper divisors (947904).

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

466368 is a wasteful number, since it uses less digits than its factorization.

466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 359 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 466368 is about 682.9114144602. The cubic root of 466368 is about 77.5490081977.

The spelling of 466368 in words is "four hundred sixty-six thousand, three hundred sixty-eight".