418074072 has 64 divisors (see below), whose sum is σ = 1130734080. Its totient is φ = 128049792.

The previous prime is 418074031. The next prime is 418074073. The reversal of 418074072 is 270470814.

It is a super-2 number, since 2×418074072² = 349571859357322368, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418074073) 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, 67873 + ... + 73775.

It is an arithmetic number, because the mean of its divisors is an integer number (17667720).

Almost surely, 2^418074072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418074072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565367040).

418074072 is an abundant number, since it is smaller than the sum of its proper divisors (712660008).

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

418074072 is a wasteful number, since it uses less digits than its factorization.

418074072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6152 (or 6148 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 33.

The square root of 418074072 is about 20446.8597099897. The cubic root of 418074072 is about 747.7407997409.

The spelling of 418074072 in words is "four hundred eighteen million, seventy-four thousand, seventy-two".