418366480 has 80 divisors (see below), whose sum is σ = 1125177984. Its totient is φ = 141696000.

The previous prime is 418366439. The next prime is 418366523. The reversal of 418366480 is 84663814.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41980 + ... + 50980.

Almost surely, 2^418366480 is an apocalyptic number.

418366480 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 418366480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562588992).

418366480 is an abundant number, since it is smaller than the sum of its proper divisors (706811504).

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

418366480 is a wasteful number, since it uses less digits than its factorization.

418366480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9104 (or 9098 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 418366480 is about 20454.0088980131. The cubic root of 418366480 is about 747.9150865890.

The spelling of 418366480 in words is "four hundred eighteen million, three hundred sixty-six thousand, four hundred eighty".