515429040 has 240 divisors, whose sum is σ = 1905815520. Its totient is φ = 114831360.

The previous prime is 515429039. The next prime is 515429041. The reversal of 515429040 is 40924515.

It is an interprime number because it is at equal distance from previous prime (515429039) and next prime (515429041).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 515428989 and 515429007.

It is not an unprimeable number, because it can be changed into a prime (515429041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 481626 + ... + 482694.

It is an arithmetic number, because the mean of its divisors is an integer number (7940898).

Almost surely, 2^515429040 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 515429040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (952907760).

515429040 is an abundant number, since it is smaller than the sum of its proper divisors (1390386480).

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

515429040 is a wasteful number, since it uses less digits than its factorization.

515429040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 515429040 is about 22703.0623485027. The cubic root of 515429040 is about 801.7819860433.

The spelling of 515429040 in words is "five hundred fifteen million, four hundred twenty-nine thousand, forty".