409374 has 60 divisors (see below), whose sum is σ = 1106424. Its totient is φ = 110808.

The previous prime is 409369. The next prime is 409379. The reversal of 409374 is 473904.

It is an interprime number because it is at equal distance from previous prime (409369) and next prime (409379).

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

It is a plaindrome in base 13.

It is a zygodrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409379) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 21537 + ... + 21555.

2⁴⁰⁹³⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409374, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (553212).

409374 is an abundant number, since it is smaller than the sum of its proper divisors (697050).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

409374 is a wasteful number, since it uses less digits than its factorization.

409374 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 31 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 409374 is about 639.8234131383. The cubic root of 409374 is about 74.2517599828.

The spelling of 409374 in words is "four hundred nine thousand, three hundred seventy-four".