1284365952 has 96 divisors (see below), whose sum is σ = 3890484000. Its totient is φ = 405582336.

The previous prime is 1284365917. The next prime is 1284365969. The reversal of 1284365952 is 2595634821.

1284365952 is a `hidden beast` number, since 1 + 28 + 4 + 36 + 595 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 1284365898 and 1284365907.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7452 + ... + 51227.

It is an arithmetic number, because the mean of its divisors is an integer number (40525875).

Almost surely, 2^1284365952 is an apocalyptic number.

1284365952 is a gapful number since it is divisible by the number (12) 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 1284365952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1945242000).

1284365952 is an abundant number, since it is smaller than the sum of its proper divisors (2606118048).

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

1284365952 is a wasteful number, since it uses less digits than its factorization.

1284365952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58718 (or 58703 counting only the distinct ones).

The product of its digits is 518400, while the sum is 45.

The square root of 1284365952 is about 35838.0517327603. The cubic root of 1284365952 is about 1087.0001266677. Note that the first 3 decimals are identical.

It can be divided in two parts, 1284 and 365952, that added together give a square (367236 = 606²).

The spelling of 1284365952 in words is "one billion, two hundred eighty-four million, three hundred sixty-five thousand, nine hundred fifty-two".