418388742 has 48 divisors (see below), whose sum is σ = 947550240. Its totient is φ = 133249536.

The previous prime is 418388687. The next prime is 418388743. The reversal of 418388742 is 247883814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418388743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46503 + ... + 54765.

It is an arithmetic number, because the mean of its divisors is an integer number (19740630).

Almost surely, 2^418388742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418388742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473775120).

418388742 is an abundant number, since it is smaller than the sum of its proper divisors (529161498).

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

418388742 is a wasteful number, since it uses less digits than its factorization.

418388742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8397 (or 8394 counting only the distinct ones).

The product of its digits is 344064, while the sum is 45.

The square root of 418388742 is about 20454.5530872713. The cubic root of 418388742 is about 747.9283523031.

The spelling of 418388742 in words is "four hundred eighteen million, three hundred eighty-eight thousand, seven hundred forty-two".