556941840 has 240 divisors, whose sum is σ = 2163486528. Its totient is φ = 117476352.

The previous prime is 556941809. The next prime is 556941859. The reversal of 556941840 is 48149655.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 556941792 and 556941801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 151059 + ... + 154701.

Almost surely, 2^556941840 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 556941840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1081743264).

556941840 is an abundant number, since it is smaller than the sum of its proper divisors (1606544688).

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

556941840 is a wasteful number, since it uses less digits than its factorization.

556941840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3686 (or 3673 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 556941840 is about 23599.6152511010. The cubic root of 556941840 is about 822.7538977743.

The spelling of 556941840 in words is "five hundred fifty-six million, nine hundred forty-one thousand, eight hundred forty".