286280642704 has 135 divisors (see below), whose sum is σ = 655273483083. Its totient is φ = 120810461184.

The previous prime is 286280642677. The next prime is 286280642707. The reversal of 286280642704 is 407246082682.

It is a happy number.

The square root of 286280642704 is 535052.

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

It can be written as a sum of positive squares in 4 ways, for example, as 89073596304 + 197207046400 = 298452^2 + 444080^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (286280642707) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1453201134 + ... + 1453201330.

Almost surely, 2^286280642704 is an apocalyptic number.

286280642704 is the 535052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286280642704

286280642704 is an abundant number, since it is smaller than the sum of its proper divisors (368992840379).

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

286280642704 is an frugal number, since it uses more digits than its factorization.

286280642704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 49.

Multiplying 286280642704 by its sum of digits (49), we get a square (14027751492496 = 3745364²).

286280642704 divided by its sum of digits (49) gives a square (5842462096 = 76436²).

The spelling of 286280642704 in words is "two hundred eighty-six billion, two hundred eighty million, six hundred forty-two thousand, seven hundred four".