418212480 has 384 divisors, whose sum is σ = 1620478080. Its totient is φ = 89800704.

The previous prime is 418212479. The next prime is 418212481. The reversal of 418212480 is 84212814.

It is an interprime number because it is at equal distance from previous prime (418212479) and next prime (418212481).

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (418212481) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 11303022 + ... + 11303058.

It is an arithmetic number, because the mean of its divisors is an integer number (4219995).

Almost surely, 2^418212480 is an apocalyptic number.

418212480 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 418212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (810239040).

418212480 is an abundant number, since it is smaller than the sum of its proper divisors (1202265600).

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

418212480 is a wasteful number, since it uses less digits than its factorization.

418212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 418212480 is about 20450.2440083242. The cubic root of 418212480 is about 747.8233065635.

The spelling of 418212480 in words is "four hundred eighteen million, two hundred twelve thousand, four hundred eighty".