414045020 has 48 divisors (see below), whose sum is σ = 888039936. Its totient is φ = 162120000.

The previous prime is 414045007. The next prime is 414045029. The reversal of 414045020 is 20540414.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 414044983 and 414045001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (414045029) 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, 213455 + ... + 215385.

It is an arithmetic number, because the mean of its divisors is an integer number (18500832).

Almost surely, 2^414045020 is an apocalyptic number.

It is an amenable number.

414045020 is an abundant number, since it is smaller than the sum of its proper divisors (473994916).

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

414045020 is a wasteful number, since it uses less digits than its factorization.

414045020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2162 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 414045020 is about 20348.0962254458. The cubic root of 414045020 is about 745.3310061624.

Adding to 414045020 its reverse (20540414), we get a palindrome (434585434).

The spelling of 414045020 in words is "four hundred fourteen million, forty-five thousand, twenty".