418291104 has 192 divisors, whose sum is σ = 1389975552. Its totient is φ = 106982400.

The previous prime is 418291073. The next prime is 418291109. The reversal of 418291104 is 401192814.

It is not an unprimeable number, because it can be changed into a prime (418291109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 524434 + ... + 525230.

It is an arithmetic number, because the mean of its divisors is an integer number (7239456).

Almost surely, 2^418291104 is an apocalyptic number.

418291104 is a gapful number since it is divisible by the number (44) 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 418291104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (694987776).

418291104 is an abundant number, since it is smaller than the sum of its proper divisors (971684448).

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

418291104 is a wasteful number, since it uses less digits than its factorization.

418291104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 899 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 418291104 is about 20452.1662422346. The cubic root of 418291104 is about 747.8701672530.

The spelling of 418291104 in words is "four hundred eighteen million, two hundred ninety-one thousand, one hundred four".