1254946464 has 288 divisors, whose sum is σ = 3943779840. Its totient is φ = 377395200.

The previous prime is 1254946453. The next prime is 1254946487. The reversal of 1254946464 is 4646494521.

1254946464 is a `hidden beast` number, since 1 + 2 + 549 + 46 + 4 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1254946464² = 3149781255012206592, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9579679 + ... + 9579809.

It is an arithmetic number, because the mean of its divisors is an integer number (13693680).

Almost surely, 2^1254946464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1254946464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1971889920).

1254946464 is an abundant number, since it is smaller than the sum of its proper divisors (2688833376).

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

1254946464 is a wasteful number, since it uses less digits than its factorization.

1254946464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its digits is 829440, while the sum is 45.

The square root of 1254946464 is about 35425.2235561048. The cubic root of 1254946464 is about 1078.6363860139.

The spelling of 1254946464 in words is "one billion, two hundred fifty-four million, nine hundred forty-six thousand, four hundred sixty-four".