467376 has 80 divisors (see below), whose sum is σ = 1499904. Its totient is φ = 122112.

The previous prime is 467371. The next prime is 467399. The reversal of 467376 is 673764.

467376 = 105² + 106² + ... + 136².

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467371) by changing a digit.

467376 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, 4315 + ... + 4421.

2⁴⁶⁷³⁷⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 467376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (749952).

467376 is an abundant number, since it is smaller than the sum of its proper divisors (1032528).

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

467376 is a wasteful number, since it uses less digits than its factorization.

467376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 132 counting only the distinct ones).

The product of its digits is 21168, while the sum is 33.

The square root of 467376 is about 683.6490327646. The cubic root of 467376 is about 77.6048390365.

The spelling of 467376 in words is "four hundred sixty-seven thousand, three hundred seventy-six".