1124988480 has 896 divisors, whose sum is σ = 5266944000. Its totient is φ = 218972160.

The previous prime is 1124988467. The next prime is 1124988493. The reversal of 1124988480 is 848894211.

1124988480 is a `hidden beast` number, since 1 + 1 + 2 + 498 + 84 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (1124988467) and next prime (1124988493).

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

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 127 ways as a sum of consecutive naturals, for example, 12640276 + ... + 12640364.

Almost surely, 2^1124988480 is an apocalyptic number.

1124988480 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 1124988480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2633472000).

1124988480 is an abundant number, since it is smaller than the sum of its proper divisors (4141955520).

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

1124988480 is a wasteful number, since it uses less digits than its factorization.

1124988480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 45.

The square root of 1124988480 is about 33540.8479320365. The cubic root of 1124988480 is about 1040.0383615041.

The spelling of 1124988480 in words is "one billion, one hundred twenty-four million, nine hundred eighty-eight thousand, four hundred eighty".