418248672 has 96 divisors (see below), whose sum is σ = 1195689600. Its totient is φ = 127507968.

The previous prime is 418248641. The next prime is 418248679. The reversal of 418248672 is 276842814.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418248679) 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, 48943 + ... + 56849.

It is an arithmetic number, because the mean of its divisors is an integer number (12455100).

Almost surely, 2^418248672 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 418248672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597844800).

418248672 is an abundant number, since it is smaller than the sum of its proper divisors (777440928).

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

418248672 is a wasteful number, since it uses less digits than its factorization.

418248672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7968 (or 7960 counting only the distinct ones).

The product of its digits is 172032, while the sum is 42.

The square root of 418248672 is about 20451.1288685979. The cubic root of 418248672 is about 747.8448780865.

The spelling of 418248672 in words is "four hundred eighteen million, two hundred forty-eight thousand, six hundred seventy-two".