1254113280 has 480 divisors, whose sum is σ = 5158836480. Its totient is φ = 286654464.

The previous prime is 1254113279. The next prime is 1254113281. The reversal of 1254113280 is 823114521.

It is a Jordan-Polya number, since it can be written as 9! ⋅ (4!)² ⋅ 3!.

1254113280 is a `hidden beast` number, since 12 + 541 + 1 + 32 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1254113279) and next prime (1254113281).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1254113281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 179159037 + ... + 179159043.

It is an arithmetic number, because the mean of its divisors is an integer number (10747576).

Almost surely, 2^1254113280 is an apocalyptic number.

1254113280 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 1254113280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2579418240).

1254113280 is an abundant number, since it is smaller than the sum of its proper divisors (3904723200).

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

1254113280 is an frugal number, since it uses more digits than its factorization.

1254113280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 1254113280 is about 35413.4618471564. The cubic root of 1254113280 is about 1078.3976237595.

The spelling of 1254113280 in words is "one billion, two hundred fifty-four million, one hundred thirteen thousand, two hundred eighty".