416034072 has 24 divisors (see below), whose sum is σ = 1126759140. Its totient is φ = 138678000.

The previous prime is 416034071. The next prime is 416034109. The reversal of 416034072 is 270430614.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (416034071) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2889054 + ... + 2889197.

Almost surely, 2^416034072 is an apocalyptic number.

It is an amenable number.

416034072 is an abundant number, since it is smaller than the sum of its proper divisors (710725068).

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

416034072 is a wasteful number, since it uses less digits than its factorization.

416034072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5778263 (or 5778256 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 416034072 is about 20396.9132958887. The cubic root of 416034072 is about 746.5226112750.

Adding to 416034072 its reverse (270430614), we get a palindrome (686464686).

The spelling of 416034072 in words is "four hundred sixteen million, thirty-four thousand, seventy-two".