512778240 has 336 divisors, whose sum is σ = 1932145488. Its totient is φ = 125042688.

The previous prime is 512778163. The next prime is 512778241. The reversal of 512778240 is 42877215.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 512778195 and 512778204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512778241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4792267 + ... + 4792373.

It is an arithmetic number, because the mean of its divisors is an integer number (5750433).

Almost surely, 2^512778240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (966072744).

512778240 is an abundant number, since it is smaller than the sum of its proper divisors (1419367248).

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

512778240 is a wasteful number, since it uses less digits than its factorization.

512778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 512778240 is about 22644.6073050517. The cubic root of 512778240 is about 800.4051281377.

The spelling of 512778240 in words is "five hundred twelve million, seven hundred seventy-eight thousand, two hundred forty".