398064672 has 96 divisors (see below), whose sum is σ = 1201132800. Its totient is φ = 128104704.

The previous prime is 398064659. The next prime is 398064677. The reversal of 398064672 is 276460893.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398064677) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17113 + ... + 32999.

It is an arithmetic number, because the mean of its divisors is an integer number (12511800).

Almost surely, 2^398064672 is an apocalyptic number.

398064672 is a gapful number since it is divisible by the number (32) 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 398064672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600566400).

398064672 is an abundant number, since it is smaller than the sum of its proper divisors (803068128).

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

398064672 is a wasteful number, since it uses less digits than its factorization.

398064672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15935 (or 15921 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 398064672 is about 19951.5581346420. The cubic root of 398064672 is about 735.6160765470.

The spelling of 398064672 in words is "three hundred ninety-eight million, sixty-four thousand, six hundred seventy-two".