1224629952 has 672 divisors, whose sum is σ = 4670023680. Its totient is φ = 278691840.

The previous prime is 1224629927. The next prime is 1224629977. The reversal of 1224629952 is 2599264221.

It is an interprime number because it is at equal distance from previous prime (1224629927) and next prime (1224629977).

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 39504177 + ... + 39504207.

It is an arithmetic number, because the mean of its divisors is an integer number (6949440).

Almost surely, 2^1224629952 is an apocalyptic number.

1224629952 is a gapful number since it is divisible by the number (12) 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 1224629952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335011840).

1224629952 is an abundant number, since it is smaller than the sum of its proper divisors (3445393728).

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

1224629952 is a wasteful number, since it uses less digits than its factorization.

1224629952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 92 counting only the distinct ones).

The product of its digits is 155520, while the sum is 42.

The square root of 1224629952 is about 34994.7132007108. The cubic root of 1224629952 is about 1069.8797291085.

The spelling of 1224629952 in words is "one billion, two hundred twenty-four million, six hundred twenty-nine thousand, nine hundred fifty-two".