398688696 has 192 divisors, whose sum is σ = 1302336000. Its totient is φ = 112674240.

The previous prime is 398688683. The next prime is 398688749. The reversal of 398688696 is 696886893.

It is a super-3 number, since 3×398688696³ (a number of 27 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1471041 + ... + 1471311.

It is an arithmetic number, because the mean of its divisors is an integer number (6783000).

Almost surely, 2^398688696 is an apocalyptic number.

398688696 is a gapful number since it is divisible by the number (36) 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 398688696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651168000).

398688696 is an abundant number, since it is smaller than the sum of its proper divisors (903647304).

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

398688696 is a wasteful number, since it uses less digits than its factorization.

398688696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 422 counting only the distinct ones).

The product of its digits is 26873856, while the sum is 63.

The square root of 398688696 is about 19967.1904883987. The cubic root of 398688696 is about 736.0002707545. Note that the first 3 decimals are identical.

The spelling of 398688696 in words is "three hundred ninety-eight million, six hundred eighty-eight thousand, six hundred ninety-six".