30464 has 36 divisors (see below), whose sum is σ = 73584. Its totient is φ = 12288.

The previous prime is 30449. The next prime is 30467. The reversal of 30464 is 46403.

It is a hoax number, since the sum of its digits (17) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a nialpdrome in base 16.

It is a zygodrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30467) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1784 + ... + 1800.

It is an arithmetic number, because the mean of its divisors is an integer number (2044).

2³⁰⁴⁶⁴ is an apocalyptic number.

30464 is a gapful number since it is divisible by the number (34) 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 30464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36792).

30464 is an abundant number, since it is smaller than the sum of its proper divisors (43120).

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

30464 is an equidigital number, since it uses as much as digits as its factorization.

30464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 30464 is about 174.5393938342. The cubic root of 30464 is about 31.2317012871.

Adding to 30464 its reverse (46403), we get a palindrome (76867).

It can be divided in two parts, 30 and 464, that added together give a palindrome (494).

The spelling of 30464 in words is "thirty thousand, four hundred sixty-four".