942440400 has 240 divisors, whose sum is σ = 3659795520. Its totient is φ = 228441600.

The previous prime is 942440363. The next prime is 942440449. The reversal of 942440400 is 4044249.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114834 + ... + 122766.

It is an arithmetic number, because the mean of its divisors is an integer number (15249148).

Almost surely, 2^942440400 is an apocalyptic number.

942440400 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 942440400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1829897760).

942440400 is an abundant number, since it is smaller than the sum of its proper divisors (2717355120).

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

942440400 is a wasteful number, since it uses less digits than its factorization.

942440400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7971 (or 7954 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 942440400 is about 30699.1921717820. The cubic root of 942440400 is about 980.4331002519.

Adding to 942440400 its reverse (4044249), we get a palindrome (946484649).

The spelling of 942440400 in words is "nine hundred forty-two million, four hundred forty thousand, four hundred".