42827400 has 384 divisors, whose sum is σ = 185702400. Its totient is φ = 8812800.

The previous prime is 42827383. The next prime is 42827417. The reversal of 42827400 is 472824.

42827400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42827383) and next prime (42827417).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 415749 + ... + 415851.

It is an arithmetic number, because the mean of its divisors is an integer number (483600).

Almost surely, 2^42827400 is an apocalyptic number.

42827400 is a gapful number since it is divisible by the number (40) 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 42827400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92851200).

42827400 is an abundant number, since it is smaller than the sum of its proper divisors (142875000).

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

42827400 is a wasteful number, since it uses less digits than its factorization.

42827400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42827400 is about 6544.2646645746. The cubic root of 42827400 is about 349.8704282283.

The spelling of 42827400 in words is "forty-two million, eight hundred twenty-seven thousand, four hundred".