10407852 has 120 divisors (see below), whose sum is σ = 33581856. Its totient is φ = 2737152.

The previous prime is 10407851. The next prime is 10407857. The reversal of 10407852 is 25870401.

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 not an unprimeable number, because it can be changed into a prime (10407851) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29308 + ... + 29660.

Almost surely, 2^10407852 is an apocalyptic number.

10407852 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10407852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16790928).

10407852 is an abundant number, since it is smaller than the sum of its proper divisors (23174004).

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

10407852 is a wasteful number, since it uses less digits than its factorization.

10407852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 10407852 is about 3226.1202705417. The cubic root of 10407852 is about 218.3334962349. Note that the first 3 decimals are identical.

The spelling of 10407852 in words is "ten million, four hundred seven thousand, eight hundred fifty-two".