752409 has 20 divisors (see below), whose sum is σ = 1285504. Its totient is φ = 429624.

The previous prime is 752383. The next prime is 752413. The reversal of 752409 is 904257.

It is not a de Polignac number, because 752409 - 2⁷ = 752281 is a prime.

It is a super-2 number, since 2×752409² = 1132238606562, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

752409 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (752449) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 97 + ... + 1230.

2⁷⁵²⁴⁰⁹ is an apocalyptic number.

It is an amenable number.

752409 is a deficient number, since it is larger than the sum of its proper divisors (533095).

752409 is a wasteful number, since it uses less digits than its factorization.

752409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 752409 is about 867.4151255310. The cubic root of 752409 is about 90.9532021987.

The spelling of 752409 in words is "seven hundred fifty-two thousand, four hundred nine".