7438464 has 96 divisors (see below), whose sum is σ = 23390640. Its totient is φ = 2250240.

The previous prime is 7438463. The next prime is 7438477. The reversal of 7438464 is 4648347.

7438464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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 (36).

It is not an unprimeable number, because it can be changed into a prime (7438463) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12379 + ... + 12965.

Almost surely, 2^7438464 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 7438464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11695320).

7438464 is an abundant number, since it is smaller than the sum of its proper divisors (15952176).

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

7438464 is a wasteful number, since it uses less digits than its factorization.

7438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 603 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 7438464 is about 2727.3547624026. The cubic root of 7438464 is about 195.2065661143.

The spelling of 7438464 in words is "seven million, four hundred thirty-eight thousand, four hundred sixty-four".