418533920 has 96 divisors (see below), whose sum is σ = 1140386688. Its totient is φ = 142184448.

The previous prime is 418533889. The next prime is 418533923. The reversal of 418533920 is 29335814.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (418533923) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 124907 + ... + 128213.

It is an arithmetic number, because the mean of its divisors is an integer number (11879028).

Almost surely, 2^418533920 is an apocalyptic number.

418533920 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 418533920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (570193344).

418533920 is an abundant number, since it is smaller than the sum of its proper divisors (721852768).

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

418533920 is a wasteful number, since it uses less digits than its factorization.

418533920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3442 (or 3434 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 418533920 is about 20458.1015737042. The cubic root of 418533920 is about 748.0148509543.

The spelling of 418533920 in words is "four hundred eighteen million, five hundred thirty-three thousand, nine hundred twenty".