1164268480 has 56 divisors (see below), whose sum is σ = 2777124240. Its totient is φ = 464916480.

The previous prime is 1164268463. The next prime is 1164268499. The reversal of 1164268480 is 848624611.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 208120 + ... + 213640.

Almost surely, 2^1164268480 is an apocalyptic number.

1164268480 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 1164268480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388562120).

1164268480 is an abundant number, since it is smaller than the sum of its proper divisors (1612855760).

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

1164268480 is an equidigital number, since it uses as much as digits as its factorization.

1164268480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6197 (or 6187 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 40.

The square root of 1164268480 is about 34121.3786356882. The cubic root of 1164268480 is about 1052.0047805399.

The spelling of 1164268480 in words is "one billion, one hundred sixty-four million, two hundred sixty-eight thousand, four hundred eighty".