1284401772 has 84 divisors (see below), whose sum is σ = 3393493936. Its totient is φ = 425152800.

The previous prime is 1284401761. The next prime is 1284401773. The reversal of 1284401772 is 2771044821.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1284401773) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 438858 + ... + 441774.

Almost surely, 2^1284401772 is an apocalyptic number.

1284401772 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 1284401772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1696746968).

1284401772 is an abundant number, since it is smaller than the sum of its proper divisors (2109092164).

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

1284401772 is a wasteful number, since it uses less digits than its factorization.

1284401772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3090 (or 3073 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 1284401772 is about 35838.5514774244. The cubic root of 1284401772 is about 1087.0102317790.

The spelling of 1284401772 in words is "one billion, two hundred eighty-four million, four hundred one thousand, seven hundred seventy-two".