398345940 has 36 divisors (see below), whose sum is σ = 1208316564. Its totient is φ = 106225536.

The previous prime is 398345929. The next prime is 398345957. The reversal of 398345940 is 49543893.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 218034756 + 180311184 = 14766^2 + 13428^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1106337 + ... + 1106696.

It is an arithmetic number, because the mean of its divisors is an integer number (33564349).

Almost surely, 2^398345940 is an apocalyptic number.

398345940 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

398345940 is an abundant number, since it is smaller than the sum of its proper divisors (809970624).

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

398345940 is a wasteful number, since it uses less digits than its factorization.

398345940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2213048 (or 2213043 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 398345940 is about 19958.6056627210. The cubic root of 398345940 is about 735.7892950916.

The spelling of 398345940 in words is "three hundred ninety-eight million, three hundred forty-five thousand, nine hundred forty".