1147668480 has 384 divisors, whose sum is σ = 4670265600. Its totient is φ = 261881856.

The previous prime is 1147668463. The next prime is 1147668491. The reversal of 1147668480 is 848667411.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1935064 + ... + 1935656.

It is an arithmetic number, because the mean of its divisors is an integer number (12162150).

Almost surely, 2^1147668480 is an apocalyptic number.

1147668480 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 1147668480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335132800).

1147668480 is an abundant number, since it is smaller than the sum of its proper divisors (3522597120).

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

1147668480 is an equidigital number, since it uses as much as digits as its factorization.

1147668480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 1147668480 is about 33877.2560872335. The cubic root of 1147668480 is about 1046.9810425053.

The spelling of 1147668480 in words is "one billion, one hundred forty-seven million, six hundred sixty-eight thousand, four hundred eighty".