285413760 has 256 divisors, whose sum is σ = 1028160000. Its totient is φ = 74815488.

The previous prime is 285413759. The next prime is 285413771. The reversal of 285413760 is 67314582.

285413760 is a `hidden beast` number, since 28 + 541 + 37 + 60 = 666.

It is a super-2 number, since 2×285413760² = 162922028794675200, 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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1434141 + ... + 1434339.

It is an arithmetic number, because the mean of its divisors is an integer number (4016250).

Almost surely, 2^285413760 is an apocalyptic number.

285413760 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 285413760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (514080000).

285413760 is an abundant number, since it is smaller than the sum of its proper divisors (742746240).

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

285413760 is a wasteful number, since it uses less digits than its factorization.

285413760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 285413760 is about 16894.1930851994. The cubic root of 285413760 is about 658.4027492187.

The spelling of 285413760 in words is "two hundred eighty-five million, four hundred thirteen thousand, seven hundred sixty".