1397727552 has 112 divisors (see below), whose sum is σ = 4192381760. Its totient is φ = 407420928.

The previous prime is 1397727547. The next prime is 1397727589. The reversal of 1397727552 is 2557277931.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 15 ways as a sum of consecutive naturals, for example, 32688 + ... + 62160.

It is an arithmetic number, because the mean of its divisors is an integer number (37431980).

Almost surely, 2^1397727552 is an apocalyptic number.

1397727552 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 1397727552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096190880).

1397727552 is an abundant number, since it is smaller than the sum of its proper divisors (2794654208).

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

1397727552 is a wasteful number, since it uses less digits than its factorization.

1397727552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29520 (or 29510 counting only the distinct ones).

The product of its digits is 926100, while the sum is 48.

The square root of 1397727552 is about 37386.1946712954. The cubic root of 1397727552 is about 1118.0833375217.

The spelling of 1397727552 in words is "one billion, three hundred ninety-seven million, seven hundred twenty-seven thousand, five hundred fifty-two".