407109852 has 72 divisors (see below), whose sum is σ = 1058213520. Its totient is φ = 131915520.

The previous prime is 407109847. The next prime is 407109883. The reversal of 407109852 is 258901704.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194403 + ... + 196485.

It is an arithmetic number, because the mean of its divisors is an integer number (14697410).

Almost surely, 2^407109852 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 407109852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529106760).

407109852 is an abundant number, since it is smaller than the sum of its proper divisors (651103668).

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

407109852 is a wasteful number, since it uses less digits than its factorization.

407109852 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2243 (or 2238 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 407109852 is about 20176.9633988864. The cubic root of 407109852 is about 741.1461736360.

The spelling of 407109852 in words is "four hundred seven million, one hundred nine thousand, eight hundred fifty-two".