940955400 has 768 divisors, whose sum is σ = 4228300800. Its totient is φ = 186624000.

The previous prime is 940955377. The next prime is 940955401. The reversal of 940955400 is 4559049.

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 (940955401) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 12889764 + ... + 12889836.

It is an arithmetic number, because the mean of its divisors is an integer number (5505600).

Almost surely, 2^940955400 is an apocalyptic number.

940955400 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 940955400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2114150400).

940955400 is an abundant number, since it is smaller than the sum of its proper divisors (3287345400).

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

940955400 is a wasteful number, since it uses less digits than its factorization.

940955400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 940955400 is about 30674.9963325181. The cubic root of 940955400 is about 979.9178745562.

The spelling of 940955400 in words is "nine hundred forty million, nine hundred fifty-five thousand, four hundred".