419400072 has 256 divisors, whose sum is σ = 1510656000. Its totient is φ = 104696064.

The previous prime is 419400049. The next prime is 419400097. The reversal of 419400072 is 270004914.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 372903 + ... + 374025.

It is an arithmetic number, because the mean of its divisors is an integer number (5901000).

Almost surely, 2^419400072 is an apocalyptic number.

419400072 is a gapful number since it is divisible by the number (42) 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 419400072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755328000).

419400072 is an abundant number, since it is smaller than the sum of its proper divisors (1091255928).

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

419400072 is a wasteful number, since it uses less digits than its factorization.

419400072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1177 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 419400072 is about 20479.2595569273. The cubic root of 419400072 is about 748.5304986348.

Adding to 419400072 its reverse (270004914), we get a palindrome (689404986).

The spelling of 419400072 in words is "four hundred nineteen million, four hundred thousand, seventy-two".