416725344 has 96 divisors (see below), whose sum is σ = 1389104640. Its totient is φ = 119062656.

The previous prime is 416725333. The next prime is 416725349. The reversal of 416725344 is 443527614.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 416725299 and 416725308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416725349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28404 + ... + 40499.

It is an arithmetic number, because the mean of its divisors is an integer number (14469840).

Almost surely, 2^416725344 is an apocalyptic number.

It is an amenable number.

416725344 is an abundant number, since it is smaller than the sum of its proper divisors (972379296).

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

416725344 is a wasteful number, since it uses less digits than its factorization.

416725344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68929 (or 68915 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 416725344 is about 20413.8517678561. The cubic root of 416725344 is about 746.9358503645.

The spelling of 416725344 in words is "four hundred sixteen million, seven hundred twenty-five thousand, three hundred forty-four".