419082048 has 252 divisors, whose sum is σ = 1510731040. Its totient is φ = 108725760.

The previous prime is 419082007. The next prime is 419082049. The reversal of 419082048 is 840280914.

It is a tau number, because it is divible by the number of its divisors (252).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (419082049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 487443 + ... + 488301.

Almost surely, 2^419082048 is an apocalyptic number.

419082048 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 419082048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (755365520).

419082048 is an abundant number, since it is smaller than the sum of its proper divisors (1091648992).

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

419082048 is a wasteful number, since it uses less digits than its factorization.

419082048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 906 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 419082048 is about 20471.4935459043. The cubic root of 419082048 is about 748.3412514422.

It can be divided in two parts, 41908 and 2048, that added together give a triangular number (43956 = T₂₉₆).

The spelling of 419082048 in words is "four hundred nineteen million, eighty-two thousand, forty-eight".