1148463360 has 720 divisors, whose sum is σ = 4807978560. Its totient is φ = 258785280.

The previous prime is 1148463359. The next prime is 1148463383. The reversal of 1148463360 is 633648411.

It is a happy number.

1148463360 is a `hidden beast` number, since 1 + 14 + 8 + 4 + 633 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21669094 + ... + 21669146.

It is an arithmetic number, because the mean of its divisors is an integer number (6677748).

Almost surely, 2^1148463360 is an apocalyptic number.

1148463360 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 1148463360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2403989280).

1148463360 is an abundant number, since it is smaller than the sum of its proper divisors (3659515200).

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

1148463360 is a wasteful number, since it uses less digits than its factorization.

1148463360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 1148463360 is about 33888.9858213550. The cubic root of 1148463360 is about 1047.2227012089. Note that the first 3 decimals are identical.

The spelling of 1148463360 in words is "one billion, one hundred forty-eight million, four hundred sixty-three thousand, three hundred sixty".