398053440 has 168 divisors, whose sum is σ = 1420124160. Its totient is φ = 106126848.

The previous prime is 398053421. The next prime is 398053441. The reversal of 398053440 is 44350893.

398053440 is a `hidden beast` number, since 3 + 9 + 80 + 534 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 398053395 and 398053404.

It is not an unprimeable number, because it can be changed into a prime (398053441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 75201 + ... + 80319.

It is an arithmetic number, because the mean of its divisors is an integer number (8453120).

Almost surely, 2^398053440 is an apocalyptic number.

398053440 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 398053440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (710062080).

398053440 is an abundant number, since it is smaller than the sum of its proper divisors (1022070720).

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

398053440 is an equidigital number, since it uses as much as digits as its factorization.

398053440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5151 (or 5129 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 398053440 is about 19951.2766508813. The cubic root of 398053440 is about 735.6091576398.

The spelling of 398053440 in words is "three hundred ninety-eight million, fifty-three thousand, four hundred forty".