419136048 has 120 divisors (see below), whose sum is σ = 1241240000. Its totient is φ = 131663232.

The previous prime is 419136023. The next prime is 419136049. The reversal of 419136048 is 840631914.

419136048 is a `hidden beast` number, since 41 + 9 + 1 + 3 + 604 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (419136049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839703 + ... + 840201.

Almost surely, 2^419136048 is an apocalyptic number.

419136048 is a gapful number since it is divisible by the number (48) 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 419136048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (620620000).

419136048 is an abundant number, since it is smaller than the sum of its proper divisors (822103952).

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

419136048 is a wasteful number, since it uses less digits than its factorization.

419136048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 839 (or 830 counting only the distinct ones).

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

The square root of 419136048 is about 20472.8124106093. The cubic root of 419136048 is about 748.3733920793.

It can be divided in two parts, 41913 and 6048, that added together give a square (47961 = 219²).

The spelling of 419136048 in words is "four hundred nineteen million, one hundred thirty-six thousand, forty-eight".