418028742 has 64 divisors (see below), whose sum is σ = 986515200. Its totient is φ = 130757760.

The previous prime is 418028711. The next prime is 418028761. The reversal of 418028742 is 247820814.

It is a junction number, because it is equal to n+sod(n) for n = 418028697 and 418028706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 604617 + ... + 605307.

It is an arithmetic number, because the mean of its divisors is an integer number (15414300).

Almost surely, 2^418028742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418028742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (493257600).

418028742 is an abundant number, since it is smaller than the sum of its proper divisors (568486458).

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

418028742 is a wasteful number, since it uses less digits than its factorization.

418028742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1378 (or 1372 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 418028742 is about 20445.7511967646. The cubic root of 418028742 is about 747.7137739754.

The spelling of 418028742 in words is "four hundred eighteen million, twenty-eight thousand, seven hundred forty-two".