419225480 has 64 divisors (see below), whose sum is σ = 959966640. Its totient is φ = 164749312.

The previous prime is 419225461. The next prime is 419225497. The reversal of 419225480 is 84522914.

It can be written as a sum of positive squares in 8 ways, for example, as 210076036 + 209149444 = 14494^2 + 14462^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 419225480.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 618902 + ... + 619578.

Almost surely, 2^419225480 is an apocalyptic number.

419225480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

419225480 is an abundant number, since it is smaller than the sum of its proper divisors (540741160).

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

419225480 is a wasteful number, since it uses less digits than its factorization.

419225480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 419225480 is about 20474.9964590962. The cubic root of 419225480 is about 748.4266156645.

The spelling of 419225480 in words is "four hundred nineteen million, two hundred twenty-five thousand, four hundred eighty".