418995360 has 288 divisors, whose sum is σ = 1650160512. Its totient is φ = 94832640.

The previous prime is 418995337. The next prime is 418995361. The reversal of 418995360 is 63599814.

It is a happy number.

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

It is a super-2 number, since 2×418995360² = 351114223403059200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (418995361) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1985655 + ... + 1985865.

It is an arithmetic number, because the mean of its divisors is an integer number (5729724).

Almost surely, 2^418995360 is an apocalyptic number.

418995360 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 418995360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825080256).

418995360 is an abundant number, since it is smaller than the sum of its proper divisors (1231165152).

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

418995360 is a wasteful number, since it uses less digits than its factorization.

418995360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 425 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 418995360 is about 20469.3761507282. The cubic root of 418995360 is about 748.2896492319.

The spelling of 418995360 in words is "four hundred eighteen million, nine hundred ninety-five thousand, three hundred sixty".