409429152 has 216 divisors, whose sum is σ = 1324552320. Its totient is φ = 119750400.

The previous prime is 409429099. The next prime is 409429159. The reversal of 409429152 is 251924904.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (409429159) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1080099 + ... + 1080477.

Almost surely, 2^409429152 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 409429152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (662276160).

409429152 is an abundant number, since it is smaller than the sum of its proper divisors (915123168).

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

409429152 is a wasteful number, since it uses less digits than its factorization.

409429152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 409429152 is about 20234.3557347399. The cubic root of 409429152 is about 742.5509430068.

The spelling of 409429152 in words is "four hundred nine million, four hundred twenty-nine thousand, one hundred fifty-two".