52005408 has 96 divisors (see below), whose sum is σ = 168045696. Its totient is φ = 13713408.

The previous prime is 52005389. The next prime is 52005409. The reversal of 52005408 is 80450025.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×52005408² = 5409124922492928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52005409) 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, 5760 + ... + 11712.

It is an arithmetic number, because the mean of its divisors is an integer number (1750476).

Almost surely, 2^52005408 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 52005408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84022848).

52005408 is an abundant number, since it is smaller than the sum of its proper divisors (116040288).

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

52005408 is a wasteful number, since it uses less digits than its factorization.

52005408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5978 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 52005408 is about 7211.4775185117. The cubic root of 52005408 is about 373.2640546052.

The spelling of 52005408 in words is "fifty-two million, five thousand, four hundred eight".