945286400 has 108 divisors (see below), whose sum is σ = 2360182272. Its totient is φ = 374814720.

The previous prime is 945286399. The next prime is 945286409. The reversal of 945286400 is 4682549.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (945286409) 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, 812219 + ... + 813381.

Almost surely, 2^945286400 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 945286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1180091136).

945286400 is an abundant number, since it is smaller than the sum of its proper divisors (1414895872).

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

945286400 is a wasteful number, since it uses less digits than its factorization.

945286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 945286400 is about 30745.5102413344. The cubic root of 945286400 is about 981.4190188519.

The spelling of 945286400 in words is "nine hundred forty-five million, two hundred eighty-six thousand, four hundred".