7438401 has 24 divisors (see below), whose sum is σ = 11577384. Its totient is φ = 4584960.

The previous prime is 7438399. The next prime is 7438423. The reversal of 7438401 is 1048347.

It can be written as a sum of positive squares in 4 ways, for example, as 389376 + 7049025 = 624^2 + 2655^2 .

It is not a de Polignac number, because 7438401 - 2¹ = 7438399 is a prime.

It is a Curzon number.

7438401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (7438001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8935 + ... + 9731.

It is an arithmetic number, because the mean of its divisors is an integer number (482391).

Almost surely, 2^7438401 is an apocalyptic number.

It is an amenable number.

7438401 is a deficient number, since it is larger than the sum of its proper divisors (4138983).

7438401 is a wasteful number, since it uses less digits than its factorization.

7438401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881 (or 878 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 7438401 is about 2727.3432127255. The cubic root of 7438401 is about 195.2060150127.

The spelling of 7438401 in words is "seven million, four hundred thirty-eight thousand, four hundred one".