416073552 has 80 divisors (see below), whose sum is σ = 1134927360. Its totient is φ = 130985856.

The previous prime is 416073529. The next prime is 416073557. The reversal of 416073552 is 255370614.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416073557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 458283 + ... + 459189.

It is an arithmetic number, because the mean of its divisors is an integer number (14186592).

Almost surely, 2^416073552 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 416073552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (567463680).

416073552 is an abundant number, since it is smaller than the sum of its proper divisors (718853808).

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

416073552 is a wasteful number, since it uses less digits than its factorization.

416073552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 416073552 is about 20397.8810664245. The cubic root of 416073552 is about 746.5462245497.

The spelling of 416073552 in words is "four hundred sixteen million, seventy-three thousand, five hundred fifty-two".