285746400 has 144 divisors (see below), whose sum is σ = 1033527600. Its totient is φ = 76193280.

The previous prime is 285746399. The next prime is 285746401. The reversal of 285746400 is 4647582.

285746400 is a `hidden beast` number, since 2 + 8 + 5 + 7 + 4 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (285746399) and next prime (285746401).

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

It is a super-2 number, since 2×285746400² = 163302010225920000, which contains 22 as substring.

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 (285746401) 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, 14986 + ... + 28214.

It is an arithmetic number, because the mean of its divisors is an integer number (7177275).

Almost surely, 2^285746400 is an apocalyptic number.

285746400 is a gapful number since it is divisible by the number (20) 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 285746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (516763800).

285746400 is an abundant number, since it is smaller than the sum of its proper divisors (747781200).

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

285746400 is a wasteful number, since it uses less digits than its factorization.

285746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13258 (or 13239 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 285746400 is about 16904.0350212605. The cubic root of 285746400 is about 658.6584318952.

It can be divided in two parts, 285746 and 400, that added together give a triangular number (286146 = T₇₅₆).

The spelling of 285746400 in words is "two hundred eighty-five million, seven hundred forty-six thousand, four hundred".