7488468 has 36 divisors (see below), whose sum is σ = 20386548. Its totient is φ = 2304000.

The previous prime is 7488433. The next prime is 7488473. The reversal of 7488468 is 8648847.

It can be written as a sum of positive squares in 2 ways, for example, as 3732624 + 3755844 = 1932^2 + 1938^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7533 + ... + 8468.

It is an arithmetic number, because the mean of its divisors is an integer number (566293).

Almost surely, 2^7488468 is an apocalyptic number.

7488468 is a gapful number since it is divisible by the number (78) formed by its first and last digit.

It is an amenable number.

7488468 is an abundant number, since it is smaller than the sum of its proper divisors (12898080).

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

7488468 is a wasteful number, since it uses less digits than its factorization.

7488468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16024 (or 16019 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 7488468 is about 2736.5065320587. The cubic root of 7488468 is about 195.6430055865.

It can be divided in two parts, 7488 and 468, that multiplied together give a square (3504384 = 1872²).

The spelling of 7488468 in words is "seven million, four hundred eighty-eight thousand, four hundred sixty-eight".