398410761 has 32 divisors (see below), whose sum is σ = 639848448. Its totient is φ = 215582400.

The previous prime is 398410741. The next prime is 398410763. The reversal of 398410761 is 167014893.

It is not a de Polignac number, because 398410761 - 2⁶ = 398410697 is a prime.

It is a super-2 number, since 2×398410761² = 317462268961198242, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (398410763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44700 + ... + 52866.

It is an arithmetic number, because the mean of its divisors is an integer number (19995264).

Almost surely, 2^398410761 is an apocalyptic number.

It is an amenable number.

398410761 is a deficient number, since it is larger than the sum of its proper divisors (241437687).

398410761 is a wasteful number, since it uses less digits than its factorization.

398410761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8301.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 398410761 is about 19960.2294826487. The cubic root of 398410761 is about 735.8292034612.

It can be divided in two parts, 398410 and 761, that added together give a triangular number (399171 = T₈₉₃).

The spelling of 398410761 in words is "three hundred ninety-eight million, four hundred ten thousand, seven hundred sixty-one".