409765152 has 48 divisors (see below), whose sum is σ = 1101879072. Its totient is φ = 133255680.

The previous prime is 409765087. The next prime is 409765163. The reversal of 409765152 is 251567904.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 409765152.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48118 + ... + 55989.

It is an arithmetic number, because the mean of its divisors is an integer number (22955814).

Almost surely, 2^409765152 is an apocalyptic number.

It is an amenable number.

409765152 is an abundant number, since it is smaller than the sum of its proper divisors (692113920).

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

409765152 is a wasteful number, since it uses less digits than its factorization.

409765152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104161 (or 104153 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 409765152 is about 20242.6567426314. The cubic root of 409765152 is about 742.7540134659.

The spelling of 409765152 in words is "four hundred nine million, seven hundred sixty-five thousand, one hundred fifty-two".