416445120 has 504 divisors, whose sum is σ = 1802337264. Its totient is φ = 87478272.

The previous prime is 416445089. The next prime is 416445143. The reversal of 416445120 is 21544614.

416445120 = T₂₂₄ + T₂₂₅ + ... + T₁₃₅₈.

416445120 is a `hidden beast` number, since 4 + 1 + 644 + 5 + 12 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1834447 + ... + 1834673.

It is an arithmetic number, because the mean of its divisors is an integer number (3576066).

Almost surely, 2^416445120 is an apocalyptic number.

416445120 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 416445120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (901168632).

416445120 is an abundant number, since it is smaller than the sum of its proper divisors (1385892144).

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

416445120 is a wasteful number, since it uses less digits than its factorization.

416445120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 257 counting only the distinct ones).

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

The square root of 416445120 is about 20406.9870387571. The cubic root of 416445120 is about 746.7683889190.

Adding to 416445120 its reverse (21544614), we get a palindrome (437989734).

It can be divided in two parts, 41644 and 5120, that added together give a palindrome (46764).

The spelling of 416445120 in words is "four hundred sixteen million, four hundred forty-five thousand, one hundred twenty".