285391008400 has 45 divisors (see below), whose sum is σ = 685677567913. Its totient is φ = 114152129600.

The previous prime is 285391008361. The next prime is 285391008407. The reversal of 285391008400 is 4800193582.

The square root of 285391008400 is 534220.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 102740763024 + 182650245376 = 320532^2 + 427376^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (285391008407) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10671045 + ... + 10697755.

Almost surely, 2^285391008400 is an apocalyptic number.

285391008400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

285391008400 is the 534220-th square number.

It is an amenable number.

285391008400 is an abundant number, since it is smaller than the sum of its proper divisors (400286559513).

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

285391008400 is an frugal number, since it uses more digits than its factorization.

285391008400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53440 (or 26718 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 285391008400 in words is "two hundred eighty-five billion, three hundred ninety-one million, eight thousand, four hundred".