398040348 has 48 divisors (see below), whose sum is σ = 984856320. Its totient is φ = 124769664.

The previous prime is 398040347. The next prime is 398040359. The reversal of 398040348 is 843040893.

It is a super-2 number, since 2×398040348² = 316872237271922208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398040343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24865 + ... + 37607.

It is an arithmetic number, because the mean of its divisors is an integer number (20517840).

Almost surely, 2^398040348 is an apocalyptic number.

398040348 is a gapful number since it is divisible by the number (38) 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 398040348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (492428160).

398040348 is an abundant number, since it is smaller than the sum of its proper divisors (586815972).

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

398040348 is a wasteful number, since it uses less digits than its factorization.

398040348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12906 (or 12904 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 398040348 is about 19950.9485488786. The cubic root of 398040348 is about 735.6010928092.

The spelling of 398040348 in words is "three hundred ninety-eight million, forty thousand, three hundred forty-eight".