398715345 has 64 divisors (see below), whose sum is σ = 838080000. Its totient is φ = 175972608.

The previous prime is 398715341. The next prime is 398715353. The reversal of 398715345 is 543517893.

398715345 is a `hidden beast` number, since 39 + 87 + 1 + 534 + 5 = 666.

It is not a de Polignac number, because 398715345 - 2² = 398715341 is a prime.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 398715345.

It is not an unprimeable number, because it can be changed into a prime (398715341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20131 + ... + 34679.

It is an arithmetic number, because the mean of its divisors is an integer number (13095000).

Almost surely, 2^398715345 is an apocalyptic number.

398715345 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

398715345 is an abundant number, since it is smaller than the sum of its proper divisors (439364655).

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

398715345 is a wasteful number, since it uses less digits than its factorization.

398715345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14599 (or 14593 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 398715345 is about 19967.8577969696. The cubic root of 398715345 is about 736.0166688736.

The spelling of 398715345 in words is "three hundred ninety-eight million, seven hundred fifteen thousand, three hundred forty-five".