414540504 has 192 divisors, whose sum is σ = 1364912640. Its totient is φ = 115395840.

The previous prime is 414540493. The next prime is 414540521. The reversal of 414540504 is 405045414.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 557557 + ... + 558299.

It is an arithmetic number, because the mean of its divisors is an integer number (7108920).

Almost surely, 2^414540504 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 414540504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (682456320).

414540504 is an abundant number, since it is smaller than the sum of its proper divisors (950372136).

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

414540504 is a wasteful number, since it uses less digits than its factorization.

414540504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 27.

The square root of 414540504 is about 20360.2677781998. The cubic root of 414540504 is about 745.6281979779.

Adding to 414540504 its reverse (405045414), we get a palindrome (819585918).

The spelling of 414540504 in words is "four hundred fourteen million, five hundred forty thousand, five hundred four".