398153664 has 224 divisors, whose sum is σ = 1257401600. Its totient is φ = 123171840.

The previous prime is 398153663. The next prime is 398153689. The reversal of 398153664 is 466351893.

398153664 is a `hidden beast` number, since 39 + 81 + 536 + 6 + 4 = 666.

Its product of digits (466560) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398153663) 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 31 ways as a sum of consecutive naturals, for example, 2199654 + ... + 2199834.

It is an arithmetic number, because the mean of its divisors is an integer number (5613400).

Almost surely, 2^398153664 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 398153664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628700800).

398153664 is an abundant number, since it is smaller than the sum of its proper divisors (859247936).

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

398153664 is a wasteful number, since it uses less digits than its factorization.

398153664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 272 counting only the distinct ones).

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

The square root of 398153664 is about 19953.7882117657. The cubic root of 398153664 is about 735.6708909801.

The spelling of 398153664 in words is "three hundred ninety-eight million, one hundred fifty-three thousand, six hundred sixty-four".