419272560 has 240 divisors, whose sum is σ = 1649269440. Its totient is φ = 93450240.

The previous prime is 419272523. The next prime is 419272561. The reversal of 419272560 is 65272914.

419272560 is a `hidden beast` number, since 4 + 1 + 92 + 7 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419272561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205626 + ... + 207654.

It is an arithmetic number, because the mean of its divisors is an integer number (6871956).

Almost surely, 2^419272560 is an apocalyptic number.

419272560 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 419272560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824634720).

419272560 is an abundant number, since it is smaller than the sum of its proper divisors (1229996880).

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

419272560 is a wasteful number, since it uses less digits than its factorization.

419272560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2096 (or 2087 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 419272560 is about 20476.1461217681. The cubic root of 419272560 is about 748.4546313011.

The spelling of 419272560 in words is "four hundred nineteen million, two hundred seventy-two thousand, five hundred sixty".