418872960 has 288 divisors, whose sum is σ = 1592512740. Its totient is φ = 101376000.

The previous prime is 418872959. The next prime is 418872973. The reversal of 418872960 is 69278814.

It can be written as a sum of positive squares in 2 ways, for example, as 413227584 + 5645376 = 20328^2 + 2376^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 696660 + ... + 697260.

Almost surely, 2^418872960 is an apocalyptic number.

418872960 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 418872960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796256370).

418872960 is an abundant number, since it is smaller than the sum of its proper divisors (1173639780).

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

418872960 is a wasteful number, since it uses less digits than its factorization.

418872960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 418872960 is about 20466.3861001399. The cubic root of 418872960 is about 748.2167768472.

It can be divided in two parts, 418 and 872960, that added together give a palindrome (873378).

The spelling of 418872960 in words is "four hundred eighteen million, eight hundred seventy-two thousand, nine hundred sixty".