398653056 has 192 divisors, whose sum is σ = 1234771200. Its totient is φ = 126489600.

The previous prime is 398653051. The next prime is 398653081. The reversal of 398653056 is 650356893.

398653056 is a `hidden beast` number, since 39 + 86 + 530 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (398653051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6535266 + ... + 6535326.

It is an arithmetic number, because the mean of its divisors is an integer number (6431100).

Almost surely, 2^398653056 is an apocalyptic number.

398653056 is a gapful number since it is divisible by the number (36) 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 398653056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617385600).

398653056 is an abundant number, since it is smaller than the sum of its proper divisors (836118144).

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

398653056 is an equidigital number, since it uses as much as digits as its factorization.

398653056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 398653056 is about 19966.2980043873. The cubic root of 398653056 is about 735.9783389970.

The spelling of 398653056 in words is "three hundred ninety-eight million, six hundred fifty-three thousand, fifty-six".