840435552 has 144 divisors (see below), whose sum is σ = 2650611600. Its totient is φ = 250444800.

The previous prime is 840435523. The next prime is 840435553. The reversal of 840435552 is 255534048.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (840435553) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 191074 + ... + 195422.

It is an arithmetic number, because the mean of its divisors is an integer number (18407025).

Almost surely, 2^840435552 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 840435552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325305800).

840435552 is an abundant number, since it is smaller than the sum of its proper divisors (1810176048).

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

840435552 is a wasteful number, since it uses less digits than its factorization.

840435552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4437 (or 4426 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The square root of 840435552 is about 28990.2665044666. The cubic root of 840435552 is about 943.7018473334.

It can be divided in two parts, 8404 and 35552, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 840435552 in words is "eight hundred forty million, four hundred thirty-five thousand, five hundred fifty-two".