419442000 has 160 divisors (see below), whose sum is σ = 1378840320. Its totient is φ = 109657600.

The previous prime is 419441999. The next prime is 419442017. The reversal of 419442000 is 244914.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 317341 + ... + 318659.

It is an arithmetic number, because the mean of its divisors is an integer number (8617752).

Almost surely, 2^419442000 is an apocalyptic number.

419442000 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 419442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (689420160).

419442000 is an abundant number, since it is smaller than the sum of its proper divisors (959398320).

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

419442000 is a wasteful number, since it uses less digits than its factorization.

419442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1398 (or 1382 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 419442000 is about 20480.2832011669. The cubic root of 419442000 is about 748.5554416769. Note that the first 3 decimals are identical.

Adding to 419442000 its reverse (244914), we get a palindrome (419686914).

The spelling of 419442000 in words is "four hundred nineteen million, four hundred forty-two thousand".