95400900 has 216 divisors, whose sum is σ = 360185280. Its totient is φ = 20632320.

The previous prime is 95400869. The next prime is 95400917. The reversal of 95400900 is 900459.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 119302 + ... + 120098.

Almost surely, 2^95400900 is an apocalyptic number.

95400900 is a gapful number since it is divisible by the number (90) 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 95400900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180092640).

95400900 is an abundant number, since it is smaller than the sum of its proper divisors (264784380).

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

95400900 is a wasteful number, since it uses less digits than its factorization.

95400900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 843 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 95400900 is about 9767.3384296849. The cubic root of 95400900 is about 456.9312110869.

The spelling of 95400900 in words is "ninety-five million, four hundred thousand, nine hundred".