846020448 has 288 divisors, whose sum is σ = 3118752000. Its totient is φ = 211258368.

The previous prime is 846020447. The next prime is 846020471. The reversal of 846020448 is 844020648.

846020448 is a `hidden beast` number, since 8 + 4 + 602 + 0 + 4 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 (846020447) 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, 497103 + ... + 498801.

It is an arithmetic number, because the mean of its divisors is an integer number (10829000).

Almost surely, 2^846020448 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 846020448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1559376000).

846020448 is an abundant number, since it is smaller than the sum of its proper divisors (2272731552).

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

846020448 is a wasteful number, since it uses less digits than its factorization.

846020448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1754 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 846020448 is about 29086.4306507347. The cubic root of 846020448 is about 945.7876091118.

The spelling of 846020448 in words is "eight hundred forty-six million, twenty thousand, four hundred forty-eight".