418947840 has 216 divisors, whose sum is σ = 1486543968. Its totient is φ = 108871680.

The previous prime is 418947827. The next prime is 418947869. The reversal of 418947840 is 48749814.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 471877 + ... + 472763.

It is an arithmetic number, because the mean of its divisors is an integer number (6882148).

Almost surely, 2^418947840 is an apocalyptic number.

418947840 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 418947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743271984).

418947840 is an abundant number, since it is smaller than the sum of its proper divisors (1067596128).

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

418947840 is a wasteful number, since it uses less digits than its factorization.

418947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 938 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 418947840 is about 20468.2153594298. The cubic root of 418947840 is about 748.2613592858.

The spelling of 418947840 in words is "four hundred eighteen million, nine hundred forty-seven thousand, eight hundred forty".