507142944 has 432 divisors, whose sum is σ = 1913629536. Its totient is φ = 131725440.

The previous prime is 507142891. The next prime is 507142967. The reversal of 507142944 is 449241705.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

507142944 is a `hidden beast` number, since 507 + 142 + 9 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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 = 507142899 and 507142908.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46103899 + ... + 46103909.

It is an arithmetic number, because the mean of its divisors is an integer number (4429698).

Almost surely, 2^507142944 is an apocalyptic number.

507142944 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 507142944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956814768).

507142944 is an abundant number, since it is smaller than the sum of its proper divisors (1406486592).

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

507142944 is an equidigital number, since it uses as much as digits as its factorization.

507142944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 507142944 is about 22519.8344576509. The cubic root of 507142944 is about 797.4622415734.

The spelling of 507142944 in words is "five hundred seven million, one hundred forty-two thousand, nine hundred forty-four".