955438400 has 168 divisors, whose sum is σ = 2804403840. Its totient is φ = 313251840.

The previous prime is 955438397. The next prime is 955438433. The reversal of 955438400 is 4834559.

It is a happy number.

It is a hoax number, since the sum of its digits (38) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255746 + ... + 259454.

It is an arithmetic number, because the mean of its divisors is an integer number (16692880).

Almost surely, 2^955438400 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 955438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1402201920).

955438400 is an abundant number, since it is smaller than the sum of its proper divisors (1848965440).

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

955438400 is a wasteful number, since it uses less digits than its factorization.

955438400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3761 (or 3746 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 955438400 is about 30910.1666122976. The cubic root of 955438400 is about 984.9198660191.

The spelling of 955438400 in words is "nine hundred fifty-five million, four hundred thirty-eight thousand, four hundred".