398684160 has 416 divisors, whose sum is σ = 1635578880. Its totient is φ = 90243072.

The previous prime is 398684147. The next prime is 398684173. The reversal of 398684160 is 61486893.

398684160 = T₂₀₅ + T₂₀₆ + ... + T₁₃₃₈.

It is an interprime number because it is at equal distance from previous prime (398684147) and next prime (398684173).

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3870669 + ... + 3870771.

It is an arithmetic number, because the mean of its divisors is an integer number (3931680).

Almost surely, 2^398684160 is an apocalyptic number.

398684160 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 398684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (817789440).

398684160 is an abundant number, since it is smaller than the sum of its proper divisors (1236894720).

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

398684160 is a wasteful number, since it uses less digits than its factorization.

398684160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 398684160 is about 19967.0769017400. The cubic root of 398684160 is about 735.9974795125.

The spelling of 398684160 in words is "three hundred ninety-eight million, six hundred eighty-four thousand, one hundred sixty".