1124460480 has 224 divisors, whose sum is σ = 4194828288. Its totient is φ = 251596800.

The previous prime is 1124460473. The next prime is 1124460481. The reversal of 1124460480 is 840644211.

It is a super-2 number, since 2×1124460480² = 2528822742163660800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124460481) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 133185 + ... + 141375.

It is an arithmetic number, because the mean of its divisors is an integer number (18726912).

Almost surely, 2^1124460480 is an apocalyptic number.

1124460480 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 1124460480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2097414144).

1124460480 is an abundant number, since it is smaller than the sum of its proper divisors (3070367808).

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

1124460480 is a wasteful number, since it uses less digits than its factorization.

1124460480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8225 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 1124460480 is about 33532.9760086993. The cubic root of 1124460480 is about 1039.8756261523.

The spelling of 1124460480 in words is "one billion, one hundred twenty-four million, four hundred sixty thousand, four hundred eighty".