398057220 has 192 divisors, whose sum is σ = 1422489600. Its totient is φ = 91393920.

The previous prime is 398057167. The next prime is 398057237. The reversal of 398057220 is 22750893.

It is a happy number.

398057220 is a `hidden beast` number, since 3 + 9 + 80 + 572 + 2 + 0 = 666.

398057220 is a nontrivial binomial coefficient, being equal to C(28216, 2).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 111097 + ... + 114623.

It is an arithmetic number, because the mean of its divisors is an integer number (7408800).

Almost surely, 2^398057220 is an apocalyptic number.

398057220 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

398057220 is the 28215-th triangular number and also the 14108-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398057220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711244800).

398057220 is an abundant number, since it is smaller than the sum of its proper divisors (1024432380).

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

398057220 is a wasteful number, since it uses less digits than its factorization.

398057220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3567 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 398057220 is about 19951.3713814364. The cubic root of 398057220 is about 735.6114861327.

The spelling of 398057220 in words is "three hundred ninety-eight million, fifty-seven thousand, two hundred twenty".