852401484 has 144 divisors (see below), whose sum is σ = 2491332480. Its totient is φ = 243025920.

The previous prime is 852401453. The next prime is 852401489. The reversal of 852401484 is 484104258.

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 (852401489) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1451839 + ... + 1452425.

It is an arithmetic number, because the mean of its divisors is an integer number (17300920).

Almost surely, 2^852401484 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 852401484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245666240).

852401484 is an abundant number, since it is smaller than the sum of its proper divisors (1638930996).

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

852401484 is a wasteful number, since it uses less digits than its factorization.

852401484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The square root of 852401484 is about 29195.9155362527. The cubic root of 852401484 is about 948.1594962106.

The spelling of 852401484 in words is "eight hundred fifty-two million, four hundred one thousand, four hundred eighty-four".