95486400 has 252 divisors, whose sum is σ = 358267000. Its totient is φ = 24053760.

The previous prime is 95486389. The next prime is 95486401. The reversal of 95486400 is 468459.

95486400 is a `hidden beast` number, since 9 + 5 + 4 + 8 + 640 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95486401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 273426 + ... + 273774.

Almost surely, 2^95486400 is an apocalyptic number.

95486400 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 95486400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179133500).

95486400 is an abundant number, since it is smaller than the sum of its proper divisors (262780600).

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

95486400 is a wasteful number, since it uses less digits than its factorization.

95486400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 95486400 is about 9771.7142815373. The cubic root of 95486400 is about 457.0676736476.

The spelling of 95486400 in words is "ninety-five million, four hundred eighty-six thousand, four hundred".