1164864480 has 384 divisors, whose sum is σ = 4267468800. Its totient is φ = 264536064.

The previous prime is 1164864469. The next prime is 1164864487. The reversal of 1164864480 is 844684611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164864487) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8380251 + ... + 8380389.

It is an arithmetic number, because the mean of its divisors is an integer number (11113200).

Almost surely, 2^1164864480 is an apocalyptic number.

1164864480 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 1164864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2133734400).

1164864480 is an abundant number, since it is smaller than the sum of its proper divisors (3102604320).

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

1164864480 is a wasteful number, since it uses less digits than its factorization.

1164864480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 258 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

The square root of 1164864480 is about 34130.1110458199. Note that the first 3 decimals coincide. The cubic root of 1164864480 is about 1052.1842603026.

The spelling of 1164864480 in words is "one billion, one hundred sixty-four million, eight hundred sixty-four thousand, four hundred eighty".