419129424 has 320 divisors, whose sum is σ = 1508474880. Its totient is φ = 108656640.

The previous prime is 419129423. The next prime is 419129449. The reversal of 419129424 is 424921914.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (419129423) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1593517 + ... + 1593779.

It is an arithmetic number, because the mean of its divisors is an integer number (4713984).

Almost surely, 2^419129424 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 419129424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754237440).

419129424 is an abundant number, since it is smaller than the sum of its proper divisors (1089345456).

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

419129424 is a wasteful number, since it uses less digits than its factorization.

419129424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335 (or 323 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 419129424 is about 20472.6506344440. The cubic root of 419129424 is about 748.3694496430.

The spelling of 419129424 in words is "four hundred nineteen million, one hundred twenty-nine thousand, four hundred twenty-four".