398911968 has 288 divisors, whose sum is σ = 1444165632. Its totient is φ = 101606400.

The previous prime is 398911963. The next prime is 398911979. The reversal of 398911968 is 869119893.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398911963) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 812203 + ... + 812693.

It is an arithmetic number, because the mean of its divisors is an integer number (5014464).

Almost surely, 2^398911968 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 398911968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722082816).

398911968 is an abundant number, since it is smaller than the sum of its proper divisors (1045253664).

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

398911968 is a wasteful number, since it uses less digits than its factorization.

398911968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 547 counting only the distinct ones).

The product of its digits is 839808, while the sum is 54.

The square root of 398911968 is about 19972.7806777124. The cubic root of 398911968 is about 736.1376357280.

The spelling of 398911968 in words is "three hundred ninety-eight million, nine hundred eleven thousand, nine hundred sixty-eight".