419249056 has 48 divisors (see below), whose sum is σ = 856880640. Its totient is φ = 201680640.

The previous prime is 419249009. The next prime is 419249057. The reversal of 419249056 is 650942914.

It is a super-2 number, since 2×419249056² = 351539541913782272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (419249057) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 339961 + ... + 341191.

It is an arithmetic number, because the mean of its divisors is an integer number (17851680).

Almost surely, 2^419249056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 419249056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428440320).

419249056 is an abundant number, since it is smaller than the sum of its proper divisors (437631584).

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

419249056 is a wasteful number, since it uses less digits than its factorization.

419249056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1637 (or 1629 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 419249056 is about 20475.5721775974. The cubic root of 419249056 is about 748.4406451673.

The spelling of 419249056 in words is "four hundred nineteen million, two hundred forty-nine thousand, fifty-six".