398186496 has 192 divisors, whose sum is σ = 1244880000. Its totient is φ = 125411328.

The previous prime is 398186479. The next prime is 398186513. The reversal of 398186496 is 694681893.

It is an interprime number because it is at equal distance from previous prime (398186479) and next prime (398186513).

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 15 ways as a sum of consecutive naturals, for example, 1050435 + ... + 1050813.

It is an arithmetic number, because the mean of its divisors is an integer number (6483750).

Almost surely, 2^398186496 is an apocalyptic number.

398186496 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 398186496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622440000).

398186496 is an abundant number, since it is smaller than the sum of its proper divisors (846693504).

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

398186496 is a wasteful number, since it uses less digits than its factorization.

398186496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 403 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 398186496 is about 19954.6108957303. The cubic root of 398186496 is about 735.6911117182.

The spelling of 398186496 in words is "three hundred ninety-eight million, one hundred eighty-six thousand, four hundred ninety-six".