418143960 has 192 divisors, whose sum is σ = 1495428480. Its totient is φ = 100684800.

The previous prime is 418143949. The next prime is 418143989. The reversal of 418143960 is 69341814.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 47 ways as a sum of consecutive naturals, for example, 219010 + ... + 220910.

It is an arithmetic number, because the mean of its divisors is an integer number (7788690).

Almost surely, 2^418143960 is an apocalyptic number.

418143960 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 418143960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (747714240).

418143960 is an abundant number, since it is smaller than the sum of its proper divisors (1077284520).

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

418143960 is a wasteful number, since it uses less digits than its factorization.

418143960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 418143960 is about 20448.5686540648. The cubic root of 418143960 is about 747.7824631692.

The spelling of 418143960 in words is "four hundred eighteen million, one hundred forty-three thousand, nine hundred sixty".