955046400 has 960 divisors, whose sum is σ = 4384005120. Its totient is φ = 176947200.

The previous prime is 955046377. The next prime is 955046437. The reversal of 955046400 is 4640559.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-3 number, since 3×955046400³ (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50265591 + ... + 50265609.

It is an arithmetic number, because the mean of its divisors is an integer number (4566672).

Almost surely, 2^955046400 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 955046400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2192002560).

955046400 is an abundant number, since it is smaller than the sum of its proper divisors (3428958720).

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

955046400 is a wasteful number, since it uses less digits than its factorization.

955046400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 955046400 is about 30903.8250059762. The cubic root of 955046400 is about 984.7851490133.

Adding to 955046400 its reverse (4640559), we get a palindrome (959686959).

The spelling of 955046400 in words is "nine hundred fifty-five million, forty-six thousand, four hundred".