416062720 has 72 divisors (see below), whose sum is σ = 1015569576. Its totient is φ = 163258368.

The previous prime is 416062693. The next prime is 416062727. The reversal of 416062720 is 27260614.

It can be written as a sum of positive squares in 4 ways, for example, as 188897536 + 227165184 = 13744^2 + 15072^2 .

It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416062727) 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 7 ways as a sum of consecutive naturals, for example, 64774 + ... + 70906.

It is an arithmetic number, because the mean of its divisors is an integer number (14105133).

Almost surely, 2^416062720 is an apocalyptic number.

416062720 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 416062720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507784788).

416062720 is an abundant number, since it is smaller than the sum of its proper divisors (599506856).

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

416062720 is an equidigital number, since it uses as much as digits as its factorization.

416062720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6207 (or 6193 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 416062720 is about 20397.6155469212. The cubic root of 416062720 is about 746.5397460006.

The spelling of 416062720 in words is "four hundred sixteen million, sixty-two thousand, seven hundred twenty".