413562420 has 72 divisors (see below), whose sum is σ = 1260220416. Its totient is φ = 109778112.

The previous prime is 413562403. The next prime is 413562437. The reversal of 413562420 is 24265314.

413562420 is a `hidden beast` number, since 4 + 1 + 35 + 624 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (413562403) and next prime (413562437).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34989 + ... + 45291.

Almost surely, 2^413562420 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 413562420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630110208).

413562420 is an abundant number, since it is smaller than the sum of its proper divisors (846657996).

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

413562420 is a wasteful number, since it uses less digits than its factorization.

413562420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10541 (or 10536 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 413562420 is about 20336.2341646628. The cubic root of 413562420 is about 745.0413141661.

The spelling of 413562420 in words is "four hundred thirteen million, five hundred sixty-two thousand, four hundred twenty".