398286720 has 384 divisors, whose sum is σ = 1543782240. Its totient is φ = 97542144.

The previous prime is 398286703. The next prime is 398286731. The reversal of 398286720 is 27682893.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×398286720² = 317264622656716800, which contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2021662 + ... + 2021858.

Almost surely, 2^398286720 is an apocalyptic number.

398286720 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 398286720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (771891120).

398286720 is an abundant number, since it is smaller than the sum of its proper divisors (1145495520).

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

398286720 is a wasteful number, since it uses less digits than its factorization.

398286720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 398286720 is about 19957.1220370072. The cubic root of 398286720 is about 735.7528313071.

The spelling of 398286720 in words is "three hundred ninety-eight million, two hundred eighty-six thousand, seven hundred twenty".