398455680 has 256 divisors, whose sum is σ = 1515801600. Its totient is φ = 87048192.

The previous prime is 398455661. The next prime is 398455691. The reversal of 398455680 is 86554893.

It is a happy number.

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

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, 308476 + ... + 309764.

It is an arithmetic number, because the mean of its divisors is an integer number (5921100).

Almost surely, 2^398455680 is an apocalyptic number.

398455680 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 398455680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (757900800).

398455680 is an abundant number, since it is smaller than the sum of its proper divisors (1117345920).

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

398455680 is a wasteful number, since it uses less digits than its factorization.

398455680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1329 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 48.

The square root of 398455680 is about 19961.3546634491. The cubic root of 398455680 is about 735.8568562199.

The spelling of 398455680 in words is "three hundred ninety-eight million, four hundred fifty-five thousand, six hundred eighty".