8405152 has 48 divisors (see below), whose sum is σ = 19111680. Its totient is φ = 3564288.

The previous prime is 8405149. The next prime is 8405153. The reversal of 8405152 is 2515048.

It is not an unprimeable number, because it can be changed into a prime (8405153) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35049 + ... + 35287.

It is an arithmetic number, because the mean of its divisors is an integer number (398160).

Almost surely, 2^8405152 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 8405152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9555840).

8405152 is an abundant number, since it is smaller than the sum of its proper divisors (10706528).

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

8405152 is a wasteful number, since it uses less digits than its factorization.

8405152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 413 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 25.

The square root of 8405152 is about 2899.1640174368. The cubic root of 8405152 is about 203.3208221870.

The spelling of 8405152 in words is "eight million, four hundred five thousand, one hundred fifty-two".