398428080 has 160 divisors (see below), whose sum is σ = 1304916480. Its totient is φ = 100362240.

The previous prime is 398428061. The next prime is 398428091. The reversal of 398428080 is 80824893.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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, 490875 + ... + 491685.

It is an arithmetic number, because the mean of its divisors is an integer number (8155728).

Almost surely, 2^398428080 is an apocalyptic number.

398428080 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 398428080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (652458240).

398428080 is an abundant number, since it is smaller than the sum of its proper divisors (906488400).

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

398428080 is a wasteful number, since it uses less digits than its factorization.

398428080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939 (or 933 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 42.

The square root of 398428080 is about 19960.6633156316. The cubic root of 398428080 is about 735.8398655237.

The spelling of 398428080 in words is "three hundred ninety-eight million, four hundred twenty-eight thousand, eighty".