95290400 has 72 divisors (see below), whose sum is σ = 233985024. Its totient is φ = 37894400.

The previous prime is 95290387. The next prime is 95290409. The reversal of 95290400 is 409259.

It is not an unprimeable number, because it can be changed into a prime (95290409) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 248609 + ... + 248991.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2^95290400 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 95290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116992512).

95290400 is an abundant number, since it is smaller than the sum of its proper divisors (138694624).

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

95290400 is a wasteful number, since it uses less digits than its factorization.

95290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 714 (or 701 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 95290400 is about 9761.6801832471. The cubic root of 95290400 is about 456.7547263598.

Adding to 95290400 its reverse (409259), we get a palindrome (95699659).

The spelling of 95290400 in words is "ninety-five million, two hundred ninety thousand, four hundred".