398295040 has 256 divisors, whose sum is σ = 1189067040. Its totient is φ = 125829120.

The previous prime is 398294999. The next prime is 398295089. The reversal of 398295040 is 40592893.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (256).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 398294984 and 398295002.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 23429112 + ... + 23429128.

Almost surely, 2^398295040 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 398295040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594533520).

398295040 is an abundant number, since it is smaller than the sum of its proper divisors (790772000).

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

398295040 is a wasteful number, since it uses less digits than its factorization.

398295040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 40.

The square root of 398295040 is about 19957.3304828076. The cubic root of 398295040 is about 735.7579544346.

The spelling of 398295040 in words is "three hundred ninety-eight million, two hundred ninety-five thousand, forty".