398278120 has 64 divisors (see below), whose sum is σ = 944939520. Its totient is φ = 150779904.

The previous prime is 398278117. The next prime is 398278129. The reversal of 398278120 is 21872893.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (398278129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87009 + ... + 91471.

It is an arithmetic number, because the mean of its divisors is an integer number (14764680).

Almost surely, 2^398278120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398278120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (472469760).

398278120 is an abundant number, since it is smaller than the sum of its proper divisors (546661400).

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

398278120 is a wasteful number, since it uses less digits than its factorization.

398278120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594 (or 4590 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 398278120 is about 19956.9065739157. The cubic root of 398278120 is about 735.7475356917.

398278120 divided by its sum of digits (40) gives a triangular number (9956953 = T₄₄₆₂).

The spelling of 398278120 in words is "three hundred ninety-eight million, two hundred seventy-eight thousand, one hundred twenty".