512540400 has 60 divisors (see below), whose sum is σ = 1641841592. Its totient is φ = 136677120.

The previous prime is 512540393. The next prime is 512540407. The reversal of 512540400 is 4045215.

It is an interprime number because it is at equal distance from previous prime (512540393) and next prime (512540407).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512540407) 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 11 ways as a sum of consecutive naturals, for example, 212359 + ... + 214758.

Almost surely, 2^512540400 is an apocalyptic number.

512540400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512540400 is an abundant number, since it is smaller than the sum of its proper divisors (1129301192).

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

512540400 is a wasteful number, since it uses less digits than its factorization.

512540400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 427138 (or 427127 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 512540400 is about 22639.3551144903. The cubic root of 512540400 is about 800.2813593679.

Adding to 512540400 its reverse (4045215), we get a palindrome (516585615).

The spelling of 512540400 in words is "five hundred twelve million, five hundred forty thousand, four hundred".