1135460480 has 128 divisors (see below), whose sum is σ = 3384408960. Its totient is φ = 353894400.

The previous prime is 1135460453. The next prime is 1135460569. The reversal of 1135460480 is 840645311.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37760 + ... + 60800.

It is an arithmetic number, because the mean of its divisors is an integer number (26440695).

Almost surely, 2^1135460480 is an apocalyptic number.

1135460480 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 1135460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692204480).

1135460480 is an abundant number, since it is smaller than the sum of its proper divisors (2248948480).

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

1135460480 is a wasteful number, since it uses less digits than its factorization.

1135460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23078 (or 23066 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1135460480 is about 33696.5944866837. The cubic root of 1135460480 is about 1043.2554793158.

The spelling of 1135460480 in words is "one billion, one hundred thirty-five million, four hundred sixty thousand, four hundred eighty".