412684020 has 144 divisors (see below), whose sum is σ = 1444480128. Its totient is φ = 93415680.

The previous prime is 412684003. The next prime is 412684037. The reversal of 412684020 is 20486214.

It is an interprime number because it is at equal distance from previous prime (412684003) and next prime (412684037).

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, 133290 + ... + 136350.

It is an arithmetic number, because the mean of its divisors is an integer number (10031112).

Almost surely, 2^412684020 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 412684020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722240064).

412684020 is an abundant number, since it is smaller than the sum of its proper divisors (1031796108).

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

412684020 is a wasteful number, since it uses less digits than its factorization.

412684020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3190 (or 3185 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 412684020 is about 20314.6257656891. The cubic root of 412684020 is about 744.5134549689.

The spelling of 412684020 in words is "four hundred twelve million, six hundred eighty-four thousand, twenty".