285415400 has 96 divisors (see below), whose sum is σ = 682556760. Its totient is φ = 110960640.

The previous prime is 285415399. The next prime is 285415439. The reversal of 285415400 is 4514582.

It can be written as a sum of positive squares in 12 ways, for example, as 11115556 + 274299844 = 3334^2 + 16562^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1649714 + ... + 1649886.

Almost surely, 2^285415400 is an apocalyptic number.

285415400 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 285415400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (341278380).

285415400 is an abundant number, since it is smaller than the sum of its proper divisors (397141360).

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

285415400 is a wasteful number, since it uses less digits than its factorization.

285415400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 285415400 is about 16894.2416225174. The cubic root of 285415400 is about 658.4040102867.

Adding to 285415400 its reverse (4514582), we get a palindrome (289929982).

The spelling of 285415400 in words is "two hundred eighty-five million, four hundred fifteen thousand, four hundred".