468096 has 64 divisors (see below), whose sum is σ = 1321920. Its totient is φ = 146432.

The previous prime is 468079. The next prime is 468107. The reversal of 468096 is 690864.

468096 = T₂₁₉ + T₂₂₀ + ... + T₂₃₆.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×468096² = 438227730432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8806 + ... + 8858.

It is an arithmetic number, because the mean of its divisors is an integer number (20655).

2⁴⁶⁸⁰⁹⁶ is an apocalyptic number.

468096 is a gapful number since it is divisible by the number (46) 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 468096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (660960).

468096 is an abundant number, since it is smaller than the sum of its proper divisors (853824).

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

468096 is a wasteful number, since it uses less digits than its factorization.

468096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 468096 is about 684.1754161032. The cubic root of 468096 is about 77.6446690779.

The spelling of 468096 in words is "four hundred sixty-eight thousand, ninety-six".