742401 has 12 divisors (see below), whose sum is σ = 1170000. Its totient is φ = 449880.

The previous prime is 742393. The next prime is 742409. The reversal of 742401 is 104247.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (742393) and next prime (742409).

It is not a de Polignac number, because 742401 - 2³ = 742393 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (742409) 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 11 ways as a sum of consecutive naturals, for example, 3651 + ... + 3848.

It is an arithmetic number, because the mean of its divisors is an integer number (97500).

It is a Proth number, since it is equal to 725 ⋅ 2¹⁰ + 1 and 725 < 2¹⁰.

2⁷⁴²⁴⁰¹ is an apocalyptic number.

It is an amenable number.

742401 is a deficient number, since it is larger than the sum of its proper divisors (427599).

742401 is a wasteful number, since it uses less digits than its factorization.

742401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7516 (or 7513 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 742401 is about 861.6269494393. The cubic root of 742401 is about 90.5481363326.

Adding to 742401 its reverse (104247), we get a palindrome (846648).

The spelling of 742401 in words is "seven hundred forty-two thousand, four hundred one", and thus it is an iban number.