1254538080 has 144 divisors (see below), whose sum is σ = 4506531120. Its totient is φ = 316929024.

The previous prime is 1254538067. The next prime is 1254538093. The reversal of 1254538080 is 808354521.

It is a happy number.

1254538080 is a `hidden beast` number, since 1 + 2 + 545 + 38 + 0 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1254538067) and next prime (1254538093).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4434 + ... + 50286.

It is an arithmetic number, because the mean of its divisors is an integer number (31295355).

Almost surely, 2^1254538080 is an apocalyptic number.

1254538080 is a gapful number since it is divisible by the number (10) 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 1254538080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253265560).

1254538080 is an abundant number, since it is smaller than the sum of its proper divisors (3251993040).

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

1254538080 is a wasteful number, since it uses less digits than its factorization.

1254538080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45893 (or 45882 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 1254538080 is about 35419.4590585458. The cubic root of 1254538080 is about 1078.5193702300.

It can be divided in two parts, 12545 and 38080, that added together give a 4-th power (50625 = 15⁴).

The spelling of 1254538080 in words is "one billion, two hundred fifty-four million, five hundred thirty-eight thousand, eighty".