398460096 has 168 divisors, whose sum is σ = 1255288320. Its totient is φ = 120282624.

The previous prime is 398460089. The next prime is 398460103. The reversal of 398460096 is 690064893.

398460096 is a `hidden beast` number, since 39 + 8 + 4 + 600 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (398460089) and next prime (398460103).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 250921 + ... + 252503.

Almost surely, 2^398460096 is an apocalyptic number.

398460096 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 398460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (627644160).

398460096 is an abundant number, since it is smaller than the sum of its proper divisors (856828224).

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

398460096 is a wasteful number, since it uses less digits than its factorization.

398460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1643 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 398460096 is about 19961.4652768778. The cubic root of 398460096 is about 735.8595746585.

The spelling of 398460096 in words is "three hundred ninety-eight million, four hundred sixty thousand, ninety-six".