398407104 has 336 divisors, whose sum is σ = 1326611520. Its totient is φ = 113541120.

The previous prime is 398407103. The next prime is 398407123. The reversal of 398407104 is 401704893.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398407103) 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 47 ways as a sum of consecutive naturals, for example, 6531234 + ... + 6531294.

Almost surely, 2^398407104 is an apocalyptic number.

398407104 is a gapful number since it is divisible by the number (34) 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 398407104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (663305760).

398407104 is an abundant number, since it is smaller than the sum of its proper divisors (928204416).

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

398407104 is a wasteful number, since it uses less digits than its factorization.

398407104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 398407104 is about 19960.1378752753. The cubic root of 398407104 is about 735.8269520699.

The spelling of 398407104 in words is "three hundred ninety-eight million, four hundred seven thousand, one hundred four".