598429440 has 432 divisors, whose sum is σ = 2437396416. Its totient is φ = 132710400.

The previous prime is 598429423. The next prime is 598429451. The reversal of 598429440 is 44924895.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3306150 + ... + 3306330.

Almost surely, 2^598429440 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 598429440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218698208).

598429440 is an abundant number, since it is smaller than the sum of its proper divisors (1838966976).

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

598429440 is a wasteful number, since it uses less digits than its factorization.

598429440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 598429440 is about 24462.8174992171. The cubic root of 598429440 is about 842.6960991340.

The spelling of 598429440 in words is "five hundred ninety-eight million, four hundred twenty-nine thousand, four hundred forty".