252546408 has 24 divisors (see below), whose sum is σ = 683980050. Its totient is φ = 84182112.

The previous prime is 252546401. The next prime is 252546433. The reversal of 252546408 is 804645252.

It is a happy number.

252546408 is a `hidden beast` number, since 2 + 5 + 2 + 5 + 4 + 640 + 8 = 666.

252546408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 160731684 + 91814724 = 12678^2 + 9582^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (252546401) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1753723 + ... + 1753866.

Almost surely, 2^252546408 is an apocalyptic number.

It is an amenable number.

252546408 is an abundant number, since it is smaller than the sum of its proper divisors (431433642).

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

252546408 is a wasteful number, since it uses less digits than its factorization.

252546408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3507601 (or 3507594 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 252546408 is about 15891.7087816257. The cubic root of 252546408 is about 632.0921526149.

The spelling of 252546408 in words is "two hundred fifty-two million, five hundred forty-six thousand, four hundred eight".