52413408 has 72 divisors (see below), whose sum is σ = 150329088. Its totient is φ = 17321472.

The previous prime is 52413401. The next prime is 52413409. The reversal of 52413408 is 80431425.

52413408 is a `hidden beast` number, since 524 + 134 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52413401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35860 + ... + 37292.

It is an arithmetic number, because the mean of its divisors is an integer number (2087904).

Almost surely, 2^52413408 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 52413408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75164544).

52413408 is an abundant number, since it is smaller than the sum of its proper divisors (97915680).

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

52413408 is a wasteful number, since it uses less digits than its factorization.

52413408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1576 (or 1565 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 52413408 is about 7239.7104914492. The cubic root of 52413408 is about 374.2376405384.

It can be divided in two parts, 5241 and 3408, that added together give a square (8649 = 93²).

The spelling of 52413408 in words is "fifty-two million, four hundred thirteen thousand, four hundred eight".