467040 has 96 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 105984.

The previous prime is 467021. The next prime is 467063. The reversal of 467040 is 40764.

467040 is nontrivially palindromic in base 11.

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 (21).

It is a junction number, because it is equal to n+sod(n) for n = 466998 and 467016.

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 467040.

It is an unprimeable number.

467040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3291 + ... + 3429.

It is an arithmetic number, because the mean of its divisors is an integer number (17640).

2⁴⁶⁷⁰⁴⁰ is an apocalyptic number.

467040 is a gapful number since it is divisible by the number (40) 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 467040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

467040 is an abundant number, since it is smaller than the sum of its proper divisors (1226400).

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

467040 is a wasteful number, since it uses less digits than its factorization.

467040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 467040 is about 683.4032484558. The cubic root of 467040 is about 77.5862376841.

Adding to 467040 its sum of digits (21), we get a triangular number (467061 = T₉₆₆).

The spelling of 467040 in words is "four hundred sixty-seven thousand, forty".