6409152 has 56 divisors (see below), whose sum is σ = 18846800. Its totient is φ = 2135808.

The previous prime is 6409141. The next prime is 6409163. The reversal of 6409152 is 2519046.

6409152 is a `hidden beast` number, since 640 + 9 + 15 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (6409141) and next prime (6409163).

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

It is a congruent number.

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, 127 + ... + 3582.

It is an arithmetic number, because the mean of its divisors is an integer number (336550).

Almost surely, 2^6409152 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 6409152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9423400).

6409152 is an abundant number, since it is smaller than the sum of its proper divisors (12437648).

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

6409152 is a wasteful number, since it uses less digits than its factorization.

6409152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3730 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 6409152 is about 2531.6303047641. The cubic root of 6409152 is about 185.7520108203.

It can be divided in two parts, 6409 and 152, that added together give a 8-th power (6561 = 3⁸).

The spelling of 6409152 in words is "six million, four hundred nine thousand, one hundred fifty-two".