1254385440 has 576 divisors, whose sum is σ = 5547709440. Its totient is φ = 260029440.

The previous prime is 1254385427. The next prime is 1254385441. The reversal of 1254385440 is 445834521.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1254385395 and 1254385404.

It is not an unprimeable number, because it can be changed into a prime (1254385441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2993551 + ... + 2993969.

It is an arithmetic number, because the mean of its divisors is an integer number (9631440).

Almost surely, 2^1254385440 is an apocalyptic number.

1254385440 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 1254385440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773854720).

1254385440 is an abundant number, since it is smaller than the sum of its proper divisors (4293324000).

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

1254385440 is a wasteful number, since it uses less digits than its factorization.

1254385440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 1254385440 is about 35417.3042452415. The cubic root of 1254385440 is about 1078.4756272045.

The spelling of 1254385440 in words is "one billion, two hundred fifty-four million, three hundred eighty-five thousand, four hundred forty".