413220528 has 240 divisors, whose sum is σ = 1402573920. Its totient is φ = 117573120.

The previous prime is 413220517. The next prime is 413220539. The reversal of 413220528 is 825022314.

413220528 is a `hidden beast` number, since 4 + 132 + 2 + 0 + 528 = 666.

It is an interprime number because it is at equal distance from previous prime (413220517) and next prime (413220539).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1714488 + ... + 1714728.

It is an arithmetic number, because the mean of its divisors is an integer number (5844058).

Almost surely, 2^413220528 is an apocalyptic number.

413220528 is a gapful number since it is divisible by the number (48) 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 413220528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701286960).

413220528 is an abundant number, since it is smaller than the sum of its proper divisors (989353392).

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

413220528 is an equidigital number, since it uses as much as digits as its factorization.

413220528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 413220528 is about 20327.8264455401. The cubic root of 413220528 is about 744.8359490440.

The spelling of 413220528 in words is "four hundred thirteen million, two hundred twenty thousand, five hundred twenty-eight".