398945280 has 176 divisors, whose sum is σ = 1344142080. Its totient is φ = 100712448.

The previous prime is 398945263. The next prime is 398945297. The reversal of 398945280 is 82549893.

It is an interprime number because it is at equal distance from previous prime (398945263) and next prime (398945297).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 291157 + ... + 292523.

Almost surely, 2^398945280 is an apocalyptic number.

398945280 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 398945280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672071040).

398945280 is an abundant number, since it is smaller than the sum of its proper divisors (945196800).

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

398945280 is a wasteful number, since it uses less digits than its factorization.

398945280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1396 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 48.

The square root of 398945280 is about 19973.6145952604. The cubic root of 398945280 is about 736.1581260753.

The spelling of 398945280 in words is "three hundred ninety-eight million, nine hundred forty-five thousand, two hundred eighty".