398580480 has 288 divisors, whose sum is σ = 1491302400. Its totient is φ = 100528128.

The previous prime is 398580467. The next prime is 398580503. The reversal of 398580480 is 84085893.

398580480 is a `hidden beast` number, since 3 + 98 + 5 + 80 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 31 ways as a sum of consecutive naturals, for example, 656337 + ... + 656943.

Almost surely, 2^398580480 is an apocalyptic number.

398580480 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 398580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (745651200).

398580480 is an abundant number, since it is smaller than the sum of its proper divisors (1092721920).

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

398580480 is a wasteful number, since it uses less digits than its factorization.

398580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 398580480 is about 19964.4804590553. The cubic root of 398580480 is about 735.9336739223.

The spelling of 398580480 in words is "three hundred ninety-eight million, five hundred eighty thousand, four hundred eighty".