418011984 has 120 divisors (see below), whose sum is σ = 1286917632. Its totient is φ = 125856000.

The previous prime is 418011949. The next prime is 418012013. The reversal of 418011984 is 489110814.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85609 + ... + 90359.

Almost surely, 2^418011984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 418011984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (643458816).

418011984 is an abundant number, since it is smaller than the sum of its proper divisors (868905648).

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

418011984 is a wasteful number, since it uses less digits than its factorization.

418011984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4825 (or 4816 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 418011984 is about 20445.3413764603. The cubic root of 418011984 is about 747.7037823539.

The spelling of 418011984 in words is "four hundred eighteen million, eleven thousand, nine hundred eighty-four".