418096640 has 160 divisors (see below), whose sum is σ = 1144614240. Its totient is φ = 145096704.

The previous prime is 418096607. The next prime is 418096649. The reversal of 418096640 is 46690814.

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 418096594 and 418096603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418096649) 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, 565391 + ... + 566129.

It is an arithmetic number, because the mean of its divisors is an integer number (7153839).

Almost surely, 2^418096640 is an apocalyptic number.

418096640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418096640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (572307120).

418096640 is an abundant number, since it is smaller than the sum of its proper divisors (726517600).

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

418096640 is a wasteful number, since it uses less digits than its factorization.

418096640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 776 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 38.

The square root of 418096640 is about 20447.4115721281. The cubic root of 418096640 is about 747.7542540639.

The spelling of 418096640 in words is "four hundred eighteen million, ninety-six thousand, six hundred forty".