885746400 has 288 divisors, whose sum is σ = 3595269888. Its totient is φ = 184012800.

The previous prime is 885746383. The next prime is 885746437. The reversal of 885746400 is 4647588.

885746400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×885746400² = 1569093370225920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 182404 + ... + 187196.

It is an arithmetic number, because the mean of its divisors is an integer number (12483576).

Almost surely, 2^885746400 is an apocalyptic number.

885746400 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 885746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797634944).

885746400 is an abundant number, since it is smaller than the sum of its proper divisors (2709523488).

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

885746400 is a wasteful number, since it uses less digits than its factorization.

885746400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4834 (or 4821 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 885746400 is about 29761.4918980887. The cubic root of 885746400 is about 960.3653123576.

The spelling of 885746400 in words is "eight hundred eighty-five million, seven hundred forty-six thousand, four hundred".