1238946072 has 256 divisors, whose sum is σ = 4077696000. Its totient is φ = 304570368.

The previous prime is 1238946061. The next prime is 1238946097. The reversal of 1238946072 is 2706498321.

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

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 3029004 + ... + 3029412.

It is an arithmetic number, because the mean of its divisors is an integer number (15928500).

Almost surely, 2^1238946072 is an apocalyptic number.

1238946072 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 1238946072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2038848000).

1238946072 is an abundant number, since it is smaller than the sum of its proper divisors (2838749928).

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

1238946072 is a wasteful number, since it uses less digits than its factorization.

1238946072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 1238946072 is about 35198.6657701681. The cubic root of 1238946072 is about 1074.0326100048.

The spelling of 1238946072 in words is "one billion, two hundred thirty-eight million, nine hundred forty-six thousand, seventy-two".