398612760 has 256 divisors, whose sum is σ = 1487324160. Its totient is φ = 83220480.

The previous prime is 398612759. The next prime is 398612789. The reversal of 398612760 is 67216893.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1889055 + ... + 1889265.

It is an arithmetic number, because the mean of its divisors is an integer number (5809860).

Almost surely, 2^398612760 is an apocalyptic number.

398612760 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 398612760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (743662080).

398612760 is an abundant number, since it is smaller than the sum of its proper divisors (1088711400).

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

398612760 is a wasteful number, since it uses less digits than its factorization.

398612760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 398612760 is about 19965.2888784510. The cubic root of 398612760 is about 735.9535405062.

The spelling of 398612760 in words is "three hundred ninety-eight million, six hundred twelve thousand, seven hundred sixty".