398586720 has 192 divisors, whose sum is σ = 1443294720. Its totient is φ = 90574848.

The previous prime is 398586691. The next prime is 398586779. The reversal of 398586720 is 27685893.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 398586720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1051491 + ... + 1051869.

It is an arithmetic number, because the mean of its divisors is an integer number (7517160).

Almost surely, 2^398586720 is an apocalyptic number.

398586720 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 398586720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721647360).

398586720 is an abundant number, since it is smaller than the sum of its proper divisors (1044708000).

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

398586720 is a wasteful number, since it uses less digits than its factorization.

398586720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 709 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 398586720 is about 19964.6367359890. The cubic root of 398586720 is about 735.9375143864.

The spelling of 398586720 in words is "three hundred ninety-eight million, five hundred eighty-six thousand, seven hundred twenty".