413222920 has 64 divisors (see below), whose sum is σ = 1023373440. Its totient is φ = 148915200.

The previous prime is 413222917. The next prime is 413222923. The reversal of 413222920 is 29222314.

It is an interprime number because it is at equal distance from previous prime (413222917) and next prime (413222923).

It is a super-2 number, since 2×413222920² = 341506363226652800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (413222923) 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, 45565 + ... + 53875.

It is an arithmetic number, because the mean of its divisors is an integer number (15990210).

Almost surely, 2^413222920 is an apocalyptic number.

413222920 is a gapful number since it is divisible by the number (40) 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 413222920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511686720).

413222920 is an abundant number, since it is smaller than the sum of its proper divisors (610150520).

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

413222920 is a wasteful number, since it uses less digits than its factorization.

413222920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8446 (or 8442 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

The square root of 413222920 is about 20327.8852810616. The cubic root of 413222920 is about 744.8373862461.

The spelling of 413222920 in words is "four hundred thirteen million, two hundred twenty-two thousand, nine hundred twenty".