398646360 has 432 divisors, whose sum is σ = 1615498560. Its totient is φ = 88179840.

The previous prime is 398646349. The next prime is 398646401. The reversal of 398646360 is 63646893.

398646360 is a `hidden beast` number, since 3 + 9 + 8 + 6 + 4 + 636 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12859545 + ... + 12859575.

It is an arithmetic number, because the mean of its divisors is an integer number (3739580).

Almost surely, 2^398646360 is an apocalyptic number.

398646360 is a gapful number since it is divisible by the number (30) 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 398646360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (807749280).

398646360 is an abundant number, since it is smaller than the sum of its proper divisors (1216852200).

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

398646360 is an equidigital number, since it uses as much as digits as its factorization.

398646360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The square root of 398646360 is about 19966.1303211213. The cubic root of 398646360 is about 735.9742183392.

The spelling of 398646360 in words is "three hundred ninety-eight million, six hundred forty-six thousand, three hundred sixty".