285249300480 has 576 divisors, whose sum is σ = 1014190632000. Its totient is φ = 74128293888.

The previous prime is 285249300473. The next prime is 285249300487. The reversal of 285249300480 is 84003942582.

285249300480 is a `hidden beast` number, since 2 + 85 + 2 + 4 + 93 + 0 + 0 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (285249300473) and next prime (285249300487).

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (285249300487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 680785711 + ... + 680786129.

It is an arithmetic number, because the mean of its divisors is an integer number (1760747625).

Almost surely, 2^285249300480 is an apocalyptic number.

285249300480 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 285249300480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507095316000).

285249300480 is an abundant number, since it is smaller than the sum of its proper divisors (728941331520).

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

285249300480 is a wasteful number, since it uses less digits than its factorization.

285249300480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 624 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 285249300480 in words is "two hundred eighty-five billion, two hundred forty-nine million, three hundred thousand, four hundred eighty".