7464 has 16 divisors (see below), whose sum is σ = 18720. Its totient is φ = 2480.

The previous prime is 7459. The next prime is 7477. The reversal of 7464 is 4647.

7464 is an esthetic number in base 11, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×7464² = 111422592, which contains 22 as substring.

It is a nialpdrome in base 6.

It is a self number, because there is not a number n which added to its sum of digits gives 7464.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 132 + ... + 179.

It is an arithmetic number, because the mean of its divisors is an integer number (1170).

It is an amenable number.

7464 is an abundant number, since it is smaller than the sum of its proper divisors (11256).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9360).

7464 is a wasteful number, since it uses less digits than its factorization.

7464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 316 counting only the distinct ones).

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

The square root of 7464 is about 86.3944442658. The cubic root of 7464 is about 19.5429690204.

The spelling of 7464 in words is "seven thousand, four hundred sixty-four".