467088 has 40 divisors (see below), whose sum is σ = 1243968. Its totient is φ = 150912.

The previous prime is 467083. The next prime is 467101. The reversal of 467088 is 880764.

It is a plaindrome in base 13.

It is not an unprimeable number, because it can be changed into a prime (467081) 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, 1645 + ... + 1907.

2⁴⁶⁷⁰⁸⁸ is an apocalyptic number.

467088 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 467088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (621984).

467088 is an abundant number, since it is smaller than the sum of its proper divisors (776880).

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

467088 is a wasteful number, since it uses less digits than its factorization.

467088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 467088 is about 683.4383659117. The cubic root of 467088 is about 77.5888955663.

The spelling of 467088 in words is "four hundred sixty-seven thousand, eighty-eight".