416881920 has 288 divisors, whose sum is σ = 1640040192. Its totient is φ = 87883776.

The previous prime is 416881919. The next prime is 416881921. The reversal of 416881920 is 29188614.

It is an interprime number because it is at equal distance from previous prime (416881919) and next prime (416881921).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416881921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 348844 + ... + 350036.

It is an arithmetic number, because the mean of its divisors is an integer number (5694584).

Almost surely, 2^416881920 is an apocalyptic number.

416881920 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 416881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (820020096).

416881920 is an abundant number, since it is smaller than the sum of its proper divisors (1223158272).

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

416881920 is a wasteful number, since it uses less digits than its factorization.

416881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 39.

The square root of 416881920 is about 20417.6864507221. The cubic root of 416881920 is about 747.0293872588.

The spelling of 416881920 in words is "four hundred sixteen million, eight hundred eighty-one thousand, nine hundred twenty".