646414020 has 144 divisors (see below), whose sum is σ = 2324020608. Its totient is φ = 147744000.

The previous prime is 646413949. The next prime is 646414061. The reversal of 646414020 is 20414646.

646414020 is a `hidden beast` number, since 646 + 4 + 14 + 0 + 2 + 0 = 666.

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

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, 24520 + ... + 43520.

It is an arithmetic number, because the mean of its divisors is an integer number (16139032).

Almost surely, 2^646414020 is an apocalyptic number.

646414020 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 646414020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1162010304).

646414020 is an abundant number, since it is smaller than the sum of its proper divisors (1677606588).

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

646414020 is a wasteful number, since it uses less digits than its factorization.

646414020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19032 (or 19018 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 646414020 is about 25424.6734492304. The cubic root of 646414020 is about 864.6431842724.

Adding to 646414020 its reverse (20414646), we get a palindrome (666828666).

The spelling of 646414020 in words is "six hundred forty-six million, four hundred fourteen thousand, twenty".