418098912 has 192 divisors, whose sum is σ = 1380685824. Its totient is φ = 107619840.

The previous prime is 418098911. The next prime is 418098913. The reversal of 418098912 is 219890814.

It is an interprime number because it is at equal distance from previous prime (418098911) and next prime (418098913).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (418098911) 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, 1204723 + ... + 1205069.

It is an arithmetic number, because the mean of its divisors is an integer number (7191072).

Almost surely, 2^418098912 is an apocalyptic number.

418098912 is a gapful number since it is divisible by the number (42) 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 418098912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (690342912).

418098912 is an abundant number, since it is smaller than the sum of its proper divisors (962586912).

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

418098912 is a wasteful number, since it uses less digits than its factorization.

418098912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 42.

The square root of 418098912 is about 20447.4671292070. The cubic root of 418098912 is about 747.7556085311.

It can be divided in two parts, 41809 and 8912, that added together give a triangular number (50721 = T₃₁₈).

The spelling of 418098912 in words is "four hundred eighteen million, ninety-eight thousand, nine hundred twelve".