398417760 has 144 divisors (see below), whose sum is σ = 1464254064. Its totient is φ = 98067456.

The previous prime is 398417741. The next prime is 398417771. The reversal of 398417760 is 67714893.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×398417760² = 317473422966835200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8079 + ... + 29361.

It is an arithmetic number, because the mean of its divisors is an integer number (10168431).

Almost surely, 2^398417760 is an apocalyptic number.

398417760 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 398417760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (732127032).

398417760 is an abundant number, since it is smaller than the sum of its proper divisors (1065836304).

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

398417760 is a wasteful number, since it uses less digits than its factorization.

398417760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21317 (or 21306 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 398417760 is about 19960.4048055143. The cubic root of 398417760 is about 735.8335122793.

The spelling of 398417760 in words is "three hundred ninety-eight million, four hundred seventeen thousand, seven hundred sixty".