507434928 has 320 divisors, whose sum is σ = 1799884800. Its totient is φ = 118932480.

The previous prime is 507434923. The next prime is 507434971. The reversal of 507434928 is 829434705.

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

It is a self number, because there is not a number n which added to its sum of digits gives 507434928.

It is not an unprimeable number, because it can be changed into a prime (507434923) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2834743 + ... + 2834921.

It is an arithmetic number, because the mean of its divisors is an integer number (5624640).

Almost surely, 2^507434928 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 507434928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (899942400).

507434928 is an abundant number, since it is smaller than the sum of its proper divisors (1292449872).

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

507434928 is a wasteful number, since it uses less digits than its factorization.

507434928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 507434928 is about 22526.3163433350. The cubic root of 507434928 is about 797.6152566458.

The spelling of 507434928 in words is "five hundred seven million, four hundred thirty-four thousand, nine hundred twenty-eight".