285048540 has 216 divisors, whose sum is σ = 1027222560. Its totient is φ = 62673408.

The previous prime is 285048539. The next prime is 285048557. The reversal of 285048540 is 45840582.

285048540 is a `hidden beast` number, since 28 + 50 + 48 + 540 = 666.

It is a super-2 number, since 2×285048540² = 162505340312263200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 285048495 and 285048504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1059526 + ... + 1059794.

It is an arithmetic number, because the mean of its divisors is an integer number (4755660).

Almost surely, 2^285048540 is an apocalyptic number.

285048540 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 285048540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (513611280).

285048540 is an abundant number, since it is smaller than the sum of its proper divisors (742174020).

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

285048540 is a wasteful number, since it uses less digits than its factorization.

285048540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 349 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 36.

The square root of 285048540 is about 16883.3805856529. The cubic root of 285048540 is about 658.1217951267.

The spelling of 285048540 in words is "two hundred eighty-five million, forty-eight thousand, five hundred forty".