1553248000 has 72 divisors (see below), whose sum is σ = 3869414640. Its totient is φ = 621286400.

The previous prime is 1553247991. The next prime is 1553248001. The reversal of 1553248000 is 8423551.

It is a self number, because there is not a number n which added to its sum of digits gives 1553248000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1553248001) 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 7 ways as a sum of consecutive naturals, for example, 7731 + ... + 56269.

It is an arithmetic number, because the mean of its divisors is an integer number (53741870).

Almost surely, 2^1553248000 is an apocalyptic number.

1553248000 is a gapful number since it is divisible by the number (10) 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 1553248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1934707320).

1553248000 is an abundant number, since it is smaller than the sum of its proper divisors (2316166640).

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

1553248000 is an frugal number, since it uses more digits than its factorization.

1553248000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48570 (or 48546 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The square root of 1553248000 is about 39411.2674244308. The cubic root of 1553248000 is about 1158.1023272867.

The spelling of 1553248000 in words is "one billion, five hundred fifty-three million, two hundred forty-eight thousand".