1254747440 has 80 divisors (see below), whose sum is σ = 2995120800. Its totient is φ = 488656896.

The previous prime is 1254747419. The next prime is 1254747443. The reversal of 1254747440 is 447474521.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1254747440² = 3148782276373107200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1254747394 and 1254747403.

It is not an unprimeable number, because it can be changed into a prime (1254747443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 588296 + ... + 590424.

It is an arithmetic number, because the mean of its divisors is an integer number (37439010).

Almost surely, 2^1254747440 is an apocalyptic number.

1254747440 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 1254747440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497560400).

1254747440 is an abundant number, since it is smaller than the sum of its proper divisors (1740373360).

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

1254747440 is a wasteful number, since it uses less digits than its factorization.

1254747440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 125440, while the sum is 38.

The square root of 1254747440 is about 35422.4143728233. The cubic root of 1254747440 is about 1078.5793620999.

The spelling of 1254747440 in words is "one billion, two hundred fifty-four million, seven hundred forty-seven thousand, four hundred forty".