1254901284 has 144 divisors (see below), whose sum is σ = 4109822080. Its totient is φ = 313528320.

The previous prime is 1254901279. The next prime is 1254901289. The reversal of 1254901284 is 4821094521.

It is an interprime number because it is at equal distance from previous prime (1254901279) and next prime (1254901289).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (1254901289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 52164 + ... + 72324.

Almost surely, 2^1254901284 is an apocalyptic number.

1254901284 is a gapful number since it is divisible by the number (14) 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 1254901284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2054911040).

1254901284 is an abundant number, since it is smaller than the sum of its proper divisors (2854920796).

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

1254901284 is a wasteful number, since it uses less digits than its factorization.

1254901284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20210 (or 20205 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 1254901284 is about 35424.5858691390. The cubic root of 1254901284 is about 1078.6234416698.

The spelling of 1254901284 in words is "one billion, two hundred fifty-four million, nine hundred one thousand, two hundred eighty-four".