515415040 has 176 divisors, whose sum is σ = 1439646912. Its totient is φ = 173408256.

The previous prime is 515415011. The next prime is 515415049. The reversal of 515415040 is 40514515.

515415040 = T₄₄₉ + T₄₅₀ + ... + T₁₄₇₀.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 515414996 and 515415014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515415049) 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, 2616222 + ... + 2616418.

It is an arithmetic number, because the mean of its divisors is an integer number (8179812).

Almost surely, 2^515415040 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 515415040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (719823456).

515415040 is an abundant number, since it is smaller than the sum of its proper divisors (924231872).

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

515415040 is a wasteful number, since it uses less digits than its factorization.

515415040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 25.

The square root of 515415040 is about 22702.7540179600. The cubic root of 515415040 is about 801.7747266868.

Adding to 515415040 its reverse (40514515), we get a palindrome (555929555).

The spelling of 515415040 in words is "five hundred fifteen million, four hundred fifteen thousand, forty".