285405120 has 840 divisors, whose sum is σ = 1373440992. Its totient is φ = 54743040.

The previous prime is 285405101. The next prime is 285405121. The reversal of 285405120 is 21504582.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (840).

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 (285405121) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 21954234 + ... + 21954246.

Almost surely, 2^285405120 is an apocalyptic number.

285405120 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 285405120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (686720496).

285405120 is an abundant number, since it is smaller than the sum of its proper divisors (1088035872).

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

285405120 is a wasteful number, since it uses less digits than its factorization.

285405120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 41 counting only the distinct ones).

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

The square root of 285405120 is about 16893.9373740996. The cubic root of 285405120 is about 658.3961054639.

The spelling of 285405120 in words is "two hundred eighty-five million, four hundred five thousand, one hundred twenty".