398802096 has 320 divisors, whose sum is σ = 1504665600. Its totient is φ = 97977600.

The previous prime is 398802071. The next prime is 398802127. The reversal of 398802096 is 690208893.

It is a super-2 number, since 2×398802096² = 318086223547986432, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 631701 + ... + 632331.

It is an arithmetic number, because the mean of its divisors is an integer number (4702080).

Almost surely, 2^398802096 is an apocalyptic number.

398802096 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 398802096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (752332800).

398802096 is an abundant number, since it is smaller than the sum of its proper divisors (1105863504).

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

398802096 is a wasteful number, since it uses less digits than its factorization.

398802096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 398802096 is about 19970.0299448949. The cubic root of 398802096 is about 736.0700449247.

The spelling of 398802096 in words is "three hundred ninety-eight million, eight hundred two thousand, ninety-six".