1398567552 has 128 divisors (see below), whose sum is σ = 3789797760. Its totient is φ = 456916992.

The previous prime is 1398567539. The next prime is 1398567559. The reversal of 1398567552 is 2557658931.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1398567495 and 1398567504.

It is not an unprimeable number, because it can be changed into a prime (1398567559) 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 15 ways as a sum of consecutive naturals, for example, 7246368 + ... + 7246560.

It is an arithmetic number, because the mean of its divisors is an integer number (29607795).

Almost surely, 2^1398567552 is an apocalyptic number.

1398567552 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 1398567552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1894898880).

1398567552 is an abundant number, since it is smaller than the sum of its proper divisors (2391230208).

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

1398567552 is a wasteful number, since it uses less digits than its factorization.

1398567552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 478 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 51.

The square root of 1398567552 is about 37397.4270772736. The cubic root of 1398567552 is about 1118.3072728949.

The spelling of 1398567552 in words is "one billion, three hundred ninety-eight million, five hundred sixty-seven thousand, five hundred fifty-two".