515441664 has 176 divisors, whose sum is σ = 1549824640. Its totient is φ = 169205760.

The previous prime is 515441657. The next prime is 515441669. The reversal of 515441664 is 466144515.

515441664 is a `hidden beast` number, since 51 + 544 + 1 + 6 + 64 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (515441669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2847654 + ... + 2847834.

Almost surely, 2^515441664 is an apocalyptic number.

515441664 is a gapful number since it is divisible by the number (54) 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 515441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774912320).

515441664 is an abundant number, since it is smaller than the sum of its proper divisors (1034382976).

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

515441664 is a wasteful number, since it uses less digits than its factorization.

515441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 289 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 515441664 is about 22703.3403709674. The cubic root of 515441664 is about 801.7885317960.

The spelling of 515441664 in words is "five hundred fifteen million, four hundred forty-one thousand, six hundred sixty-four".