416649744 has 195 divisors, whose sum is σ = 1408583487. Its totient is φ = 119042784.

The previous prime is 416649733. The next prime is 416649767. The reversal of 416649744 is 447946614.

The square root of 416649744 is 20412.

It is a perfect power (a square), and thus also a powerful number.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (580608) is a multiple of the sum of its prime divisors (12).

It is a self number, because there is not a number n which added to its sum of digits gives 416649744.

It is an unprimeable number.

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 38 ways as a sum of consecutive naturals, for example, 59521389 + ... + 59521395.

Almost surely, 2^416649744 is an apocalyptic number.

416649744 is the 20412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416649744

416649744 is an abundant number, since it is smaller than the sum of its proper divisors (991933743).

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

416649744 is an frugal number, since it uses more digits than its factorization.

416649744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58 (or 12 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The cubic root of 416649744 is about 746.8906793135.

The spelling of 416649744 in words is "four hundred sixteen million, six hundred forty-nine thousand, seven hundred forty-four".