7352401 has 12 divisors (see below), whose sum is σ = 8610420. Its totient is φ = 6259680.

The previous prime is 7352393. The next prime is 7352417. The reversal of 7352401 is 1042537.

It can be written as a sum of positive squares in 2 ways, for example, as 1587600 + 5764801 = 1260^2 + 2401^2 .

It is not a de Polignac number, because 7352401 - 2³ = 7352393 is a prime.

It is not an unprimeable number, because it can be changed into a prime (7352431) 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, 8455 + ... + 9283.

It is an arithmetic number, because the mean of its divisors is an integer number (717535).

Almost surely, 2^7352401 is an apocalyptic number.

It is an amenable number.

7352401 is a deficient number, since it is larger than the sum of its proper divisors (1258019).

7352401 is a wasteful number, since it uses less digits than its factorization.

7352401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1017 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 7352401 is about 2711.5311172841. The cubic root of 7352401 is about 194.4507974221.

Adding to 7352401 its reverse (1042537), we get a palindrome (8394938).

It can be divided in two parts, 735 and 2401, that added together give a square (3136 = 56²).

The spelling of 7352401 in words is "seven million, three hundred fifty-two thousand, four hundred one".