419678725 has 12 divisors (see below), whose sum is σ = 521233380. Its totient is φ = 335206400.

The previous prime is 419678671. The next prime is 419678759. The reversal of 419678725 is 527876914.

It can be written as a sum of positive squares in 6 ways, for example, as 29181604 + 390497121 = 5402^2 + 19761^2 .

It is not a de Polignac number, because 419678725 - 2¹⁵ = 419645957 is a prime.

It is a super-3 number, since 3×419678725³ (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2931 + ... + 29119.

It is an arithmetic number, because the mean of its divisors is an integer number (43436115).

Almost surely, 2^419678725 is an apocalyptic number.

It is an amenable number.

419678725 is a deficient number, since it is larger than the sum of its proper divisors (101554655).

419678725 is a wasteful number, since it uses less digits than its factorization.

419678725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26840 (or 26835 counting only the distinct ones).

The product of its digits is 846720, while the sum is 49.

The square root of 419678725 is about 20486.0617249876. The cubic root of 419678725 is about 748.6962386253.

The spelling of 419678725 in words is "four hundred nineteen million, six hundred seventy-eight thousand, seven hundred twenty-five".