553264000 has 128 divisors (see below), whose sum is σ = 1390708800. Its totient is φ = 218880000.

The previous prime is 553263947. The next prime is 553264009. The reversal of 553264000 is 462355.

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

It is a super-2 number, since 2×553264000² = 612202107392000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553264009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2415886 + ... + 2416114.

Almost surely, 2^553264000 is an apocalyptic number.

553264000 is a gapful number since it is divisible by the number (50) 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 553264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695354400).

553264000 is an abundant number, since it is smaller than the sum of its proper divisors (837444800).

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

553264000 is a wasteful number, since it uses less digits than its factorization.

553264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 409 (or 387 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The square root of 553264000 is about 23521.5645738118. The cubic root of 553264000 is about 820.9388413997.

The spelling of 553264000 in words is "five hundred fifty-three million, two hundred sixty-four thousand".