398591424 has 504 divisors, whose sum is σ = 1545864320. Its totient is φ = 95800320.

The previous prime is 398591423. The next prime is 398591447. The reversal of 398591424 is 424195893.

398591424 is a `hidden beast` number, since 39 + 8 + 591 + 4 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 398591424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398591423) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 9269547 + ... + 9269589.

Almost surely, 2^398591424 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 398591424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (772932160).

398591424 is an abundant number, since it is smaller than the sum of its proper divisors (1147272896).

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

398591424 is a wasteful number, since it uses less digits than its factorization.

398591424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 85 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 398591424 is about 19964.7545439457. The cubic root of 398591424 is about 735.9404094791.

The spelling of 398591424 in words is "three hundred ninety-eight million, five hundred ninety-one thousand, four hundred twenty-four".