512424416 has 48 divisors (see below), whose sum is σ = 1156234464. Its totient is φ = 218985984.

The previous prime is 512424413. The next prime is 512424427. The reversal of 512424416 is 614424215.

It is a super-2 number, since 2×512424416² = 525157564225882112, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512424413) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80486 + ... + 86618.

It is an arithmetic number, because the mean of its divisors is an integer number (24088218).

Almost surely, 2^512424416 is an apocalyptic number.

512424416 is a gapful number since it is divisible by the number (56) 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 512424416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578117232).

512424416 is an abundant number, since it is smaller than the sum of its proper divisors (643810048).

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

512424416 is a wasteful number, since it uses less digits than its factorization.

512424416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6523 (or 6515 counting only the distinct ones).

The product of its digits is 7680, while the sum is 29.

The square root of 512424416 is about 22636.7934124955. The cubic root of 512424416 is about 800.2209889492.

The spelling of 512424416 in words is "five hundred twelve million, four hundred twenty-four thousand, four hundred sixteen".