10257409 has 8 divisors (see below), whose sum is σ = 10948608. Its totient is φ = 9576000.

The previous prime is 10257407. The next prime is 10257437. The reversal of 10257409 is 90475201.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10257409 - 2¹ = 10257407 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10257407) 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 7 ways as a sum of consecutive naturals, for example, 217 + ... + 4534.

It is an arithmetic number, because the mean of its divisors is an integer number (1368576).

Almost surely, 2^10257409 is an apocalyptic number.

It is an amenable number.

10257409 is a deficient number, since it is larger than the sum of its proper divisors (691199).

10257409 is a wasteful number, since it uses less digits than its factorization.

10257409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4895.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 10257409 is about 3202.7190010989. The cubic root of 10257409 is about 217.2764003224.

The spelling of 10257409 in words is "ten million, two hundred fifty-seven thousand, four hundred nine".