512045820 has 384 divisors, whose sum is σ = 1975680000. Its totient is φ = 108241920.

The previous prime is 512045819. The next prime is 512045851. The reversal of 512045820 is 28540215.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1467006 + ... + 1467354.

It is an arithmetic number, because the mean of its divisors is an integer number (5145000).

Almost surely, 2^512045820 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 512045820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987840000).

512045820 is an abundant number, since it is smaller than the sum of its proper divisors (1463634180).

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

512045820 is a wasteful number, since it uses less digits than its factorization.

512045820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 512045820 is about 22628.4294638404. The cubic root of 512045820 is about 800.0238638715.

The spelling of 512045820 in words is "five hundred twelve million, forty-five thousand, eight hundred twenty".