512440000 has 140 divisors (see below), whose sum is σ = 1328312304. Its totient is φ = 195712000.

The previous prime is 512439989. The next prime is 512440003. The reversal of 512440000 is 44215.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (512440003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 919722 + ... + 920278.

Almost surely, 2^512440000 is an apocalyptic number.

512440000 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 512440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (664156152).

512440000 is an abundant number, since it is smaller than the sum of its proper divisors (815872304).

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

512440000 is an equidigital number, since it uses as much as digits as its factorization.

512440000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612 (or 587 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 512440000 is about 22637.1376282427. The cubic root of 512440000 is about 800.2291010513.

Adding to 512440000 its reverse (44215), we get a palindrome (512484215).

The spelling of 512440000 in words is "five hundred twelve million, four hundred forty thousand".