552264000 has 112 divisors (see below), whose sum is σ = 1823654976. Its totient is φ = 147264000.

The previous prime is 552263993. The next prime is 552264047. The reversal of 552264000 is 462255.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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, 12495 + ... + 35505.

Almost surely, 2^552264000 is an apocalyptic number.

552264000 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 552264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (911827488).

552264000 is an abundant number, since it is smaller than the sum of its proper divisors (1271390976).

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

552264000 is a wasteful number, since it uses less digits than its factorization.

552264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23041 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 552264000 is about 23500.2978704526. The cubic root of 552264000 is about 820.4439396638.

The spelling of 552264000 in words is "five hundred fifty-two million, two hundred sixty-four thousand".