553734720 has 504 divisors, whose sum is σ = 2403116352. Its totient is φ = 114554880.

The previous prime is 553734719. The next prime is 553734721. The reversal of 553734720 is 27437355.

553734720 is a `hidden beast` number, since 553 + 7 + 34 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (553734719) and next prime (553734721).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (553734721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2439247 + ... + 2439473.

It is an arithmetic number, because the mean of its divisors is an integer number (4768088).

Almost surely, 2^553734720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553734720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1201558176).

553734720 is an abundant number, since it is smaller than the sum of its proper divisors (1849381632).

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

553734720 is a wasteful number, since it uses less digits than its factorization.

553734720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The square root of 553734720 is about 23531.5685835008. The cubic root of 553734720 is about 821.1715951365.

The spelling of 553734720 in words is "five hundred fifty-three million, seven hundred thirty-four thousand, seven hundred twenty".