1284364416 has 128 divisors (see below), whose sum is σ = 3635573760. Its totient is φ = 400343040.

The previous prime is 1284364397. The next prime is 1284364447. The reversal of 1284364416 is 6144634821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1181025 + ... + 1182111.

It is an arithmetic number, because the mean of its divisors is an integer number (28402920).

Almost surely, 2^1284364416 is an apocalyptic number.

1284364416 is a gapful number since it is divisible by the number (16) 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 1284364416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1817786880).

1284364416 is an abundant number, since it is smaller than the sum of its proper divisors (2351209344).

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

1284364416 is a wasteful number, since it uses less digits than its factorization.

1284364416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1302 (or 1290 counting only the distinct ones).

The product of its digits is 110592, while the sum is 39.

The square root of 1284364416 is about 35838.0303030175. The cubic root of 1284364416 is about 1086.9996933455. Note that the first 3 decimals are identical.

The spelling of 1284364416 in words is "one billion, two hundred eighty-four million, three hundred sixty-four thousand, four hundred sixteen".