512379648 has 288 divisors, whose sum is σ = 1730695680. Its totient is φ = 148008960.

The previous prime is 512379641. The next prime is 512379683. The reversal of 512379648 is 846973215.

512379648 is a `hidden beast` number, since 512 + 3 + 7 + 96 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (512379641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1748590 + ... + 1748882.

It is an arithmetic number, because the mean of its divisors is an integer number (6009360).

Almost surely, 2^512379648 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 512379648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (865347840).

512379648 is an abundant number, since it is smaller than the sum of its proper divisors (1218316032).

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

512379648 is a wasteful number, since it uses less digits than its factorization.

512379648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 332 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 512379648 is about 22635.8045582657. The cubic root of 512379648 is about 800.1976844804.

The spelling of 512379648 in words is "five hundred twelve million, three hundred seventy-nine thousand, six hundred forty-eight".