467748 has 48 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 151200.

The previous prime is 467743. The next prime is 467749. The reversal of 467748 is 847764.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 467748.

It is not an unprimeable number, because it can be changed into a prime (467743) by changing a digit.

467748 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, 6553 + ... + 6623.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁴⁶⁷⁷⁴⁸ 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 467748, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (624960).

467748 is an abundant number, since it is smaller than the sum of its proper divisors (782172).

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

467748 is a wasteful number, since it uses less digits than its factorization.

467748 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 137 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 467748 is about 683.9210480750. The cubic root of 467748 is about 77.6254229947.

The spelling of 467748 in words is "four hundred sixty-seven thousand, seven hundred forty-eight".