398290920 has 128 divisors (see below), whose sum is σ = 1275523200. Its totient is φ = 99201024.

The previous prime is 398290913. The next prime is 398290927. The reversal of 398290920 is 29092893.

It is an interprime number because it is at equal distance from previous prime (398290913) and next prime (398290927).

It is not an unprimeable number, because it can be changed into a prime (398290927) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 165244 + ... + 167636.

It is an arithmetic number, because the mean of its divisors is an integer number (9965025).

Almost surely, 2^398290920 is an apocalyptic number.

398290920 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 398290920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637761600).

398290920 is an abundant number, since it is smaller than the sum of its proper divisors (877232280).

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

398290920 is a wasteful number, since it uses less digits than its factorization.

398290920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2499 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 398290920 is about 19957.2272623228. The cubic root of 398290920 is about 735.7554175102.

The spelling of 398290920 in words is "three hundred ninety-eight million, two hundred ninety thousand, nine hundred twenty".