1397875752 has 384 divisors, whose sum is σ = 5069433600. Its totient is φ = 347493888.

The previous prime is 1397875747. The next prime is 1397875757. The reversal of 1397875752 is 2575787931.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1397875747) and next prime (1397875757).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3704400) is a multiple of the sum of its prime factors (270).

It is not an unprimeable number, because it can be changed into a prime (1397875757) 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 95 ways as a sum of consecutive naturals, for example, 7095718 + ... + 7095914.

It is an arithmetic number, because the mean of its divisors is an integer number (13201650).

Almost surely, 2^1397875752 is an apocalyptic number.

1397875752 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 1397875752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2534716800).

1397875752 is an abundant number, since it is smaller than the sum of its proper divisors (3671557848).

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

1397875752 is a wasteful number, since it uses less digits than its factorization.

1397875752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 241 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 54.

The square root of 1397875752 is about 37388.1766337969. The cubic root of 1397875752 is about 1118.1228526366.

The spelling of 1397875752 in words is "one billion, three hundred ninety-seven million, eight hundred seventy-five thousand, seven hundred fifty-two".