398166624 has 48 divisors (see below), whose sum is σ = 1161321840. Its totient is φ = 132721920.

The previous prime is 398166623. The next prime is 398166631. The reversal of 398166624 is 426661893.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 398166624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398166623) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 229557 + ... + 231284.

It is an arithmetic number, because the mean of its divisors is an integer number (24194205).

Almost surely, 2^398166624 is an apocalyptic number.

It is an amenable number.

398166624 is an abundant number, since it is smaller than the sum of its proper divisors (763155216).

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

398166624 is a wasteful number, since it uses less digits than its factorization.

398166624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460860 (or 460846 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The square root of 398166624 is about 19954.1129594878. The cubic root of 398166624 is about 735.6788729832.

The spelling of 398166624 in words is "three hundred ninety-eight million, one hundred sixty-six thousand, six hundred twenty-four".