553380480 has 192 divisors, whose sum is σ = 1924715520. Its totient is φ = 146503680.

The previous prime is 553380467. The next prime is 553380493. The reversal of 553380480 is 84083355.

553380480 is a `hidden beast` number, since 5 + 533 + 80 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (553380467) and next prime (553380493).

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1099909 + ... + 1100411.

It is an arithmetic number, because the mean of its divisors is an integer number (10024560).

Almost surely, 2^553380480 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 553380480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962357760).

553380480 is an abundant number, since it is smaller than the sum of its proper divisors (1371335040).

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

553380480 is a wasteful number, since it uses less digits than its factorization.

553380480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 704 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 553380480 is about 23524.0404692731. The cubic root of 553380480 is about 820.9964487664.

The spelling of 553380480 in words is "five hundred fifty-three million, three hundred eighty thousand, four hundred eighty".