398049120 has 192 divisors, whose sum is σ = 1592317440. Its totient is φ = 90975744.

The previous prime is 398049089. The next prime is 398049131. The reversal of 398049120 is 21940893.

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

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, 23659 + ... + 36821.

It is an arithmetic number, because the mean of its divisors is an integer number (8293320).

Almost surely, 2^398049120 is an apocalyptic number.

398049120 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 398049120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (796158720).

398049120 is an abundant number, since it is smaller than the sum of its proper divisors (1194268320).

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

398049120 is a wasteful number, since it uses less digits than its factorization.

398049120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13194 (or 13180 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 398049120 is about 19951.1683868389. The cubic root of 398049120 is about 735.6064964870.

The spelling of 398049120 in words is "three hundred ninety-eight million, forty-nine thousand, one hundred twenty".