506493144 has 24 divisors (see below), whose sum is σ = 1371752460. Its totient is φ = 168831024.

The previous prime is 506493137. The next prime is 506493161. The reversal of 506493144 is 441394605.

506493144 is a `hidden beast` number, since 5 + 0 + 649 + 3 + 1 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (24).

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 = 506493099 and 506493108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3517242 + ... + 3517385.

Almost surely, 2^506493144 is an apocalyptic number.

It is an amenable number.

506493144 is an abundant number, since it is smaller than the sum of its proper divisors (865259316).

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

506493144 is a wasteful number, since it uses less digits than its factorization.

506493144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7034639 (or 7034632 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 506493144 is about 22505.4025513875. The cubic root of 506493144 is about 797.1215010603.

The spelling of 506493144 in words is "five hundred six million, four hundred ninety-three thousand, one hundred forty-four".