507870000 has 600 divisors, whose sum is σ = 2115072960. Its totient is φ = 116640000.

The previous prime is 507869959. The next prime is 507870007. The reversal of 507870000 is 78705.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (507870007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 26729991 + ... + 26730009.

Almost surely, 2^507870000 is an apocalyptic number.

507870000 is a gapful number since it is divisible by the number (50) 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 507870000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057536480).

507870000 is an abundant number, since it is smaller than the sum of its proper divisors (1607202960).

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

507870000 is a wasteful number, since it uses less digits than its factorization.

507870000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 507870000 is about 22535.9712459880. The cubic root of 507870000 is about 797.8431485490.

It can be divided in two parts, 5078 and 70000, that added together give a triangular number (75078 = T₃₈₇).

The spelling of 507870000 in words is "five hundred seven million, eight hundred seventy thousand".