201195456 has 224 divisors, whose sum is σ = 686653440. Its totient is φ = 50457600.

The previous prime is 201195431. The next prime is 201195481. The reversal of 201195456 is 654591102.

It is an interprime number because it is at equal distance from previous prime (201195431) and next prime (201195481).

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×201195456² = 80959223030095872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458085 + ... + 458523.

Almost surely, 2^201195456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343326720).

201195456 is an abundant number, since it is smaller than the sum of its proper divisors (485457984).

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

201195456 is a wasteful number, since it uses less digits than its factorization.

201195456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 201195456 is about 14184.3384054386. The cubic root of 201195456 is about 585.9664119721.

The spelling of 201195456 in words is "two hundred one million, one hundred ninety-five thousand, four hundred fifty-six".