416848320 has 672 divisors, whose sum is σ = 1825873920. Its totient is φ = 85155840.

The previous prime is 416848307. The next prime is 416848331. The reversal of 416848320 is 23848614.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13446705 + ... + 13446735.

Almost surely, 2^416848320 is an apocalyptic number.

416848320 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 416848320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (912936960).

416848320 is an abundant number, since it is smaller than the sum of its proper divisors (1409025600).

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

416848320 is a wasteful number, since it uses less digits than its factorization.

416848320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 416848320 is about 20416.8636180977. The cubic root of 416848320 is about 747.0093169378.

The spelling of 416848320 in words is "four hundred sixteen million, eight hundred forty-eight thousand, three hundred twenty".