1224949824 has 672 divisors, whose sum is σ = 4753416960. Its totient is φ = 306561024.

The previous prime is 1224949823. The next prime is 1224949837. The reversal of 1224949824 is 4289494221.

It is a tau number, because it is divible by the number of its divisors (672).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1224949824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1224949823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 33106734 + ... + 33106770.

Almost surely, 2^1224949824 is an apocalyptic number.

1224949824 is a gapful number since it is divisible by the number (14) 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 1224949824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2376708480).

1224949824 is an abundant number, since it is smaller than the sum of its proper divisors (3528467136).

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

1224949824 is a wasteful number, since it uses less digits than its factorization.

1224949824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 89 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1224949824 is about 34999.2831926598. The cubic root of 1224949824 is about 1069.9728714699.

The spelling of 1224949824 in words is "one billion, two hundred twenty-four million, nine hundred forty-nine thousand, eight hundred twenty-four".