419924 has 12 divisors (see below), whose sum is σ = 747348. Its totient is φ = 206400.

The previous prime is 419921. The next prime is 419927. The reversal of 419924 is 429914.

419924 = T₃₂₀ + T₃₂₁ + ... + T₃₂₇.

It is an interprime number because it is at equal distance from previous prime (419921) and next prime (419927).

It can be written as a sum of positive squares in 2 ways, for example, as 136900 + 283024 = 370^2 + 532^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419921) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 617 + ... + 1104.

It is an arithmetic number, because the mean of its divisors is an integer number (62279).

2⁴¹⁹⁹²⁴ is an apocalyptic number.

It is an amenable number.

419924 is a deficient number, since it is larger than the sum of its proper divisors (327424).

419924 is a wasteful number, since it uses less digits than its factorization.

419924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1786 (or 1784 counting only the distinct ones).

The product of its digits is 2592, while the sum is 29.

The square root of 419924 is about 648.0154319150. The cubic root of 419924 is about 74.8842065021.

The spelling of 419924 in words is "four hundred nineteen thousand, nine hundred twenty-four".