852152400 has 360 divisors, whose sum is σ = 3349723104. Its totient is φ = 206323200.

The previous prime is 852152393. The next prime is 852152401. The reversal of 852152400 is 4251258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (852152401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1068802 + ... + 1069598.

Almost surely, 2^852152400 is an apocalyptic number.

852152400 is a gapful number since it is divisible by the number (80) 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 852152400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1674861552).

852152400 is an abundant number, since it is smaller than the sum of its proper divisors (2497570704).

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

852152400 is a wasteful number, since it uses less digits than its factorization.

852152400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 852152400 is about 29191.6494909075. The cubic root of 852152400 is about 948.0671319228.

The spelling of 852152400 in words is "eight hundred fifty-two million, one hundred fifty-two thousand, four hundred".