408753252 has 18 divisors (see below), whose sum is σ = 1033237478. Its totient is φ = 136251072.

The previous prime is 408753229. The next prime is 408753271. The reversal of 408753252 is 252357804.

408753252 is a `hidden beast` number, since 40 + 87 + 532 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 408605796 + 147456 = 20214^2 + 384^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 11354257 = 408753252 / (4 + 0 + 8 + 7 + 5 + 3 + 2 + 5 + 2).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5677093 + ... + 5677164.

Almost surely, 2^408753252 is an apocalyptic number.

It is an amenable number.

408753252 is an abundant number, since it is smaller than the sum of its proper divisors (624484226).

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

408753252 is a wasteful number, since it uses less digits than its factorization.

408753252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11354267 (or 11354262 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 408753252 is about 20217.6470441048. The cubic root of 408753252 is about 742.1421082403.

The spelling of 408753252 in words is "four hundred eight million, seven hundred fifty-three thousand, two hundred fifty-two".