398399040 has 224 divisors, whose sum is σ = 1514002560. Its totient is φ = 98039808.

The previous prime is 398398993. The next prime is 398399059. The reversal of 398399040 is 40993893.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110547 + ... + 114093.

It is an arithmetic number, because the mean of its divisors is an integer number (6758940).

Almost surely, 2^398399040 is an apocalyptic number.

398399040 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 398399040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757001280).

398399040 is an abundant number, since it is smaller than the sum of its proper divisors (1115603520).

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

398399040 is a wasteful number, since it uses less digits than its factorization.

398399040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3570 counting only the distinct ones).

The product of its (nonzero) digits is 209952, while the sum is 45.

The square root of 398399040 is about 19959.9358716405. The cubic root of 398399040 is about 735.8219875093.

The spelling of 398399040 in words is "three hundred ninety-eight million, three hundred ninety-nine thousand, forty".