95414200 has 192 divisors, whose sum is σ = 283910400. Its totient is φ = 29030400.

The previous prime is 95414197. The next prime is 95414201. The reversal of 95414200 is 241459.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95414201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 452095 + ... + 452305.

It is an arithmetic number, because the mean of its divisors is an integer number (1478700).

Almost surely, 2^95414200 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 95414200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141955200).

95414200 is an abundant number, since it is smaller than the sum of its proper divisors (188496200).

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

95414200 is a wasteful number, since it uses less digits than its factorization.

95414200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 95414200 is about 9768.0192465003. The cubic root of 95414200 is about 456.9524439499.

Adding to 95414200 its reverse (241459), we get a palindrome (95655659).

The spelling of 95414200 in words is "ninety-five million, four hundred fourteen thousand, two hundred".