409524552 has 64 divisors (see below), whose sum is σ = 1142433600. Its totient is φ = 135924480.

The previous prime is 409524551. The next prime is 409524553. The reversal of 409524552 is 255425904.

409524552 is a `hidden beast` number, since 409 + 5 + 245 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (409524551) and next prime (409524553).

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 (409524551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48123 + ... + 55989.

It is an arithmetic number, because the mean of its divisors is an integer number (17850525).

Almost surely, 2^409524552 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 409524552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571216800).

409524552 is an abundant number, since it is smaller than the sum of its proper divisors (732909048).

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

409524552 is a wasteful number, since it uses less digits than its factorization.

409524552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8123 (or 8113 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 409524552 is about 20236.7129741962. The cubic root of 409524552 is about 742.6086118027.

The spelling of 409524552 in words is "four hundred nine million, five hundred twenty-four thousand, five hundred fifty-two".