40086252 has 84 divisors (see below), whose sum is σ = 107420040. Its totient is φ = 13079232.

The previous prime is 40086247. The next prime is 40086269. The reversal of 40086252 is 25268004.

40086252 is a `hidden beast` number, since 400 + 8 + 6 + 252 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 171928 + ... + 172160.

It is an arithmetic number, because the mean of its divisors is an integer number (1278810).

Almost surely, 2^40086252 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 40086252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53710020).

40086252 is an abundant number, since it is smaller than the sum of its proper divisors (67333788).

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

40086252 is a wasteful number, since it uses less digits than its factorization.

40086252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 297 counting only the distinct ones).

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

The square root of 40086252 is about 6331.3704677581. The cubic root of 40086252 is about 342.2408276055.

The spelling of 40086252 in words is "forty million, eighty-six thousand, two hundred fifty-two".