515455164 has 240 divisors, whose sum is σ = 1690476480. Its totient is φ = 133539840.

The previous prime is 515455141. The next prime is 515455183. The reversal of 515455164 is 461554515.

515455164 is a `hidden beast` number, since 5 + 1 + 545 + 51 + 64 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1117894 + ... + 1118354.

It is an arithmetic number, because the mean of its divisors is an integer number (7043652).

Almost surely, 2^515455164 is an apocalyptic number.

515455164 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 515455164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (845238240).

515455164 is an abundant number, since it is smaller than the sum of its proper divisors (1175021316).

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

515455164 is a wasteful number, since it uses less digits than its factorization.

515455164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 530 (or 519 counting only the distinct ones).

The product of its digits is 60000, while the sum is 36.

The square root of 515455164 is about 22703.6376820984. The cubic root of 515455164 is about 801.7955316510.

The spelling of 515455164 in words is "five hundred fifteen million, four hundred fifty-five thousand, one hundred sixty-four".