418944240 has 360 divisors, whose sum is σ = 1667317392. Its totient is φ = 93450240.

The previous prime is 418944187. The next prime is 418944301. The reversal of 418944240 is 42449814.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 418944195 and 418944204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1338324 + ... + 1338636.

Almost surely, 2^418944240 is an apocalyptic number.

418944240 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 418944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833658696).

418944240 is an abundant number, since it is smaller than the sum of its proper divisors (1248373152).

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

418944240 is a wasteful number, since it uses less digits than its factorization.

418944240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 418944240 is about 20468.1274180126. The cubic root of 418944240 is about 748.2592160209.

The spelling of 418944240 in words is "four hundred eighteen million, nine hundred forty-four thousand, two hundred forty".