419252352 has 64 divisors (see below), whose sum is σ = 1120253760. Its totient is φ = 138920960.

The previous prime is 419252321. The next prime is 419252357. The reversal of 419252352 is 253252914.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (419252357) 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, 63277 + ... + 69587.

It is an arithmetic number, because the mean of its divisors is an integer number (17503965).

Almost surely, 2^419252352 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 419252352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560126880).

419252352 is an abundant number, since it is smaller than the sum of its proper divisors (701001408).

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

419252352 is a wasteful number, since it uses less digits than its factorization.

419252352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6501 (or 6489 counting only the distinct ones).

The product of its digits is 21600, while the sum is 33.

The square root of 419252352 is about 20475.6526635905. The cubic root of 419252352 is about 748.4426064947.

The spelling of 419252352 in words is "four hundred nineteen million, two hundred fifty-two thousand, three hundred fifty-two".