1148172480 has 504 divisors, whose sum is σ = 4901805792. Its totient is φ = 241532928.

The previous prime is 1148172433. The next prime is 1148172499. The reversal of 1148172480 is 842718411.

1148172480 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 172 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 71 ways as a sum of consecutive naturals, for example, 3406872 + ... + 3407208.

Almost surely, 2^1148172480 is an apocalyptic number.

1148172480 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 1148172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2450902896).

1148172480 is an abundant number, since it is smaller than the sum of its proper divisors (3753633312).

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

1148172480 is a wasteful number, since it uses less digits than its factorization.

1148172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 1148172480 is about 33884.6938897196. The cubic root of 1148172480 is about 1047.1342810726.

The spelling of 1148172480 in words is "one billion, one hundred forty-eight million, one hundred seventy-two thousand, four hundred eighty".