512350400 has 42 divisors (see below), whose sum is σ = 1260706140. Its totient is φ = 204939520.

The previous prime is 512350387. The next prime is 512350429. The reversal of 512350400 is 4053215.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 158510 + ... + 161709.

Almost surely, 2^512350400 is an apocalyptic number.

512350400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

512350400 is an abundant number, since it is smaller than the sum of its proper divisors (748355740).

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

512350400 is a wasteful number, since it uses less digits than its factorization.

512350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320241 (or 320226 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 512350400 is about 22635.1584929287. The cubic root of 512350400 is about 800.1824583830.

The spelling of 512350400 in words is "five hundred twelve million, three hundred fifty thousand, four hundred".