416660832 has 288 divisors, whose sum is σ = 1434101760. Its totient is φ = 112250880.

The previous prime is 416660831. The next prime is 416660833. The reversal of 416660832 is 238066614.

It is an interprime number because it is at equal distance from previous prime (416660831) and next prime (416660833).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416660831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3687208 + ... + 3687320.

It is an arithmetic number, because the mean of its divisors is an integer number (4979520).

Almost surely, 2^416660832 is an apocalyptic number.

416660832 is a gapful number since it is divisible by the number (42) 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 416660832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717050880).

416660832 is an abundant number, since it is smaller than the sum of its proper divisors (1017440928).

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

416660832 is a wasteful number, since it uses less digits than its factorization.

416660832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 416660832 is about 20412.2716031313. The cubic root of 416660832 is about 746.8973047429.

The spelling of 416660832 in words is "four hundred sixteen million, six hundred sixty thousand, eight hundred thirty-two".