515405040 has 80 divisors (see below), whose sum is σ = 1601864736. Its totient is φ = 137088000.

The previous prime is 515405027. The next prime is 515405041. The reversal of 515405040 is 40504515.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 515405040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (515405041) 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, 98490 + ... + 103590.

Almost surely, 2^515405040 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 515405040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (800932368).

515405040 is an abundant number, since it is smaller than the sum of its proper divisors (1086459696).

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

515405040 is a wasteful number, since it uses less digits than its factorization.

515405040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 5532 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 515405040 is about 22702.5337792943. The cubic root of 515405040 is about 801.7695413517.

Adding to 515405040 its reverse (40504515), we get a palindrome (555909555).

The spelling of 515405040 in words is "five hundred fifteen million, four hundred five thousand, forty".