515082240 has 384 divisors, whose sum is σ = 1934150400. Its totient is φ = 131383296.

The previous prime is 515082179. The next prime is 515082283. The reversal of 515082240 is 42280515.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

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, 22394869 + ... + 22394891.

It is an arithmetic number, because the mean of its divisors is an integer number (5036850).

Almost surely, 2^515082240 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 515082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (967075200).

515082240 is an abundant number, since it is smaller than the sum of its proper divisors (1419068160).

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

515082240 is an frugal number, since it uses more digits than its factorization.

515082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71 (or 33 counting only the distinct ones).

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

The square root of 515082240 is about 22695.4233271821. The cubic root of 515082240 is about 801.6021226951.

The spelling of 515082240 in words is "five hundred fifteen million, eighty-two thousand, two hundred forty".