556554240 has 480 divisors, whose sum is σ = 2211889680. Its totient is φ = 132710400.

The previous prime is 556554233. The next prime is 556554241. The reversal of 556554240 is 42455655.

556554240 is a `hidden beast` number, since 5 + 565 + 54 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a junction number, because it is equal to n+sod(n) for n = 556554195 and 556554204.

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 1464 × 264 × 1440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (556554241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9123810 + ... + 9123870.

Almost surely, 2^556554240 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 556554240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1105944840).

556554240 is an abundant number, since it is smaller than the sum of its proper divisors (1655335440).

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

556554240 is a wasteful number, since it uses less digits than its factorization.

556554240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The square root of 556554240 is about 23591.4018235458. The cubic root of 556554240 is about 822.5629900977.

It can be divided in two parts, 55655 and 4240, that added together give a palindrome (59895).

The spelling of 556554240 in words is "five hundred fifty-six million, five hundred fifty-four thousand, two hundred forty".