419958240 has 288 divisors, whose sum is σ = 1487517696. Its totient is φ = 99440640.

The previous prime is 419958239. The next prime is 419958247. The reversal of 419958240 is 42859914.

It is a junction number, because it is equal to n+sod(n) for n = 419958192 and 419958201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419958247) 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, 2514637 + ... + 2514803.

It is an arithmetic number, because the mean of its divisors is an integer number (5164992).

Almost surely, 2^419958240 is an apocalyptic number.

419958240 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 419958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743758848).

419958240 is an abundant number, since it is smaller than the sum of its proper divisors (1067559456).

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

419958240 is a wasteful number, since it uses less digits than its factorization.

419958240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 42.

The square root of 419958240 is about 20492.8826669163. The cubic root of 419958240 is about 748.8624176364.

The spelling of 419958240 in words is "four hundred nineteen million, nine hundred fifty-eight thousand, two hundred forty".