398610240 has 224 divisors, whose sum is σ = 1509857280. Its totient is φ = 87115776.

The previous prime is 398610229. The next prime is 398610299. The reversal of 398610240 is 42016893.

It is a tau number, because it is divible by the number of its divisors (224).

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 31 ways as a sum of consecutive naturals, for example, 153271 + ... + 155849.

Almost surely, 2^398610240 is an apocalyptic number.

398610240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398610240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (754928640).

398610240 is an abundant number, since it is smaller than the sum of its proper divisors (1111247040).

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

398610240 is a wasteful number, since it uses less digits than its factorization.

398610240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2629 (or 2619 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 398610240 is about 19965.2257688211. The cubic root of 398610240 is about 735.9519896219.

The spelling of 398610240 in words is "three hundred ninety-eight million, six hundred ten thousand, two hundred forty".