409014144 has 512 divisors, whose sum is σ = 1586304000. Its totient is φ = 100638720.

The previous prime is 409014143. The next prime is 409014149. The reversal of 409014144 is 441410904.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (409014143) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7717222 + ... + 7717274.

It is an arithmetic number, because the mean of its divisors is an integer number (3098250).

Almost surely, 2^409014144 is an apocalyptic number.

409014144 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 409014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793152000).

409014144 is an abundant number, since it is smaller than the sum of its proper divisors (1177289856).

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

409014144 is a wasteful number, since it uses less digits than its factorization.

409014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 409014144 is about 20224.0981010279. The cubic root of 409014144 is about 742.2999685625.

The spelling of 409014144 in words is "four hundred nine million, fourteen thousand, one hundred forty-four".