416997360 has 360 divisors, whose sum is σ = 1592978400. Its totient is φ = 97523712.

The previous prime is 416997341. The next prime is 416997367. The reversal of 416997360 is 63799614.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416997367) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2798566 + ... + 2798714.

It is an arithmetic number, because the mean of its divisors is an integer number (4424940).

Almost surely, 2^416997360 is an apocalyptic number.

416997360 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 416997360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796489200).

416997360 is an abundant number, since it is smaller than the sum of its proper divisors (1175981040).

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

416997360 is a wasteful number, since it uses less digits than its factorization.

416997360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 416997360 is about 20420.5132158817. The cubic root of 416997360 is about 747.0983349308.

The spelling of 416997360 in words is "four hundred sixteen million, nine hundred ninety-seven thousand, three hundred sixty".