409374420 has 144 divisors (see below), whose sum is σ = 1436093568. Its totient is φ = 86365440.

The previous prime is 409374419. The next prime is 409374421. The reversal of 409374420 is 24473904.

It is an interprime number because it is at equal distance from previous prime (409374419) and next prime (409374421).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409374421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32865 + ... + 43575.

It is an arithmetic number, because the mean of its divisors is an integer number (9972872).

Almost surely, 2^409374420 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409374420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (718046784).

409374420 is an abundant number, since it is smaller than the sum of its proper divisors (1026719148).

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

409374420 is a wasteful number, since it uses less digits than its factorization.

409374420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10750 (or 10741 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 409374420 is about 20233.0032372854. The cubic root of 409374420 is about 742.5178537579.

The spelling of 409374420 in words is "four hundred nine million, three hundred seventy-four thousand, four hundred twenty".