507129480 has 192 divisors, whose sum is σ = 1936509120. Its totient is φ = 113472000.

The previous prime is 507129473. The next prime is 507129481. The reversal of 507129480 is 84921705.

507129480 is a `hidden beast` number, since 50 + 7 + 129 + 480 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (507129481) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46555 + ... + 56405.

It is an arithmetic number, because the mean of its divisors is an integer number (10085985).

Almost surely, 2^507129480 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 507129480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968254560).

507129480 is an abundant number, since it is smaller than the sum of its proper divisors (1429379640).

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

507129480 is a wasteful number, since it uses less digits than its factorization.

507129480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9892 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 507129480 is about 22519.5355191887. The cubic root of 507129480 is about 797.4551843083.

The spelling of 507129480 in words is "five hundred seven million, one hundred twenty-nine thousand, four hundred eighty".