507465459072 has 768 divisors, whose sum is σ = 1781965785600. Its totient is φ = 136559001600.

The previous prime is 507465459047. The next prime is 507465459073. The reversal of 507465459072 is 270954564705.

It is a happy number.

507465459072 is a `hidden beast` number, since 5 + 0 + 7 + 4 + 6 + 545 + 90 + 7 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (507465459073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 502938504 + ... + 502939512.

It is an arithmetic number, because the mean of its divisors is an integer number (2320267950).

Almost surely, 2^507465459072 is an apocalyptic number.

507465459072 is a gapful number since it is divisible by the number (52) 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 507465459072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (890982892800).

507465459072 is an abundant number, since it is smaller than the sum of its proper divisors (1274500326528).

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

507465459072 is a wasteful number, since it uses less digits than its factorization.

507465459072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1152 counting only the distinct ones).

The product of its (nonzero) digits is 10584000, while the sum is 54.

The spelling of 507465459072 in words is "five hundred seven billion, four hundred sixty-five million, four hundred fifty-nine thousand, seventy-two".