418464072 has 96 divisors (see below), whose sum is σ = 1224175680. Its totient is φ = 128373120.

The previous prime is 418464029. The next prime is 418464103. The reversal of 418464072 is 270464814.

418464072 is a `hidden beast` number, since 4 + 1 + 8 + 4 + 640 + 7 + 2 = 666.

It is a super-2 number, since 2×418464072² = 350224359109642368, which contains 22 as substring.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 605247 + ... + 605937.

It is an arithmetic number, because the mean of its divisors is an integer number (12751830).

Almost surely, 2^418464072 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 418464072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612087840).

418464072 is an abundant number, since it is smaller than the sum of its proper divisors (805711608).

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

418464072 is a wasteful number, since it uses less digits than its factorization.

418464072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363 (or 1356 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 418464072 is about 20456.3944037066. The cubic root of 418464072 is about 747.9732372439.

The spelling of 418464072 in words is "four hundred eighteen million, four hundred sixty-four thousand, seventy-two".