942880400 has 300 divisors, whose sum is σ = 2971565760. Its totient is φ = 281107200.

The previous prime is 942880399. The next prime is 942880409. The reversal of 942880400 is 4088249.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (942880409) 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 59 ways as a sum of consecutive naturals, for example, 40994789 + ... + 40994811.

Almost surely, 2^942880400 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 942880400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485782880).

942880400 is an abundant number, since it is smaller than the sum of its proper divisors (2028685360).

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

942880400 is a wasteful number, since it uses less digits than its factorization.

942880400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 942880400 is about 30706.3576478878. The cubic root of 942880400 is about 980.5856557687.

The spelling of 942880400 in words is "nine hundred forty-two million, eight hundred eighty thousand, four hundred".