398454966 has 288 divisors, whose sum is σ = 1195084800. Its totient is φ = 94711680.

The previous prime is 398454943. The next prime is 398455003. The reversal of 398454966 is 669454893.

398454966 is a `hidden beast` number, since 3 + 98 + 4 + 549 + 6 + 6 = 666.

It is a super-2 number, since 2×398454966² = 317532719860122312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (5598720) is a multiple of the sum of its prime factors (144).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6753445 + ... + 6753503.

It is an arithmetic number, because the mean of its divisors is an integer number (4149600).

Almost surely, 2^398454966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398454966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597542400).

398454966 is an abundant number, since it is smaller than the sum of its proper divisors (796629834).

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

398454966 is a wasteful number, since it uses less digits than its factorization.

398454966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 398454966 is about 19961.3367788833. The cubic root of 398454966 is about 735.8564166879.

The spelling of 398454966 in words is "three hundred ninety-eight million, four hundred fifty-four thousand, nine hundred sixty-six".