42368400 has 120 divisors (see below), whose sum is σ = 150838560. Its totient is φ = 11295360.

The previous prime is 42368399. The next prime is 42368407. The reversal of 42368400 is 486324.

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (42368407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8839 + ... + 12761.

It is an arithmetic number, because the mean of its divisors is an integer number (1256988).

Almost surely, 2^42368400 is an apocalyptic number.

42368400 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 42368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75419280).

42368400 is an abundant number, since it is smaller than the sum of its proper divisors (108470160).

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

42368400 is a wasteful number, since it uses less digits than its factorization.

42368400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3950 (or 3933 counting only the distinct ones).

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

The square root of 42368400 is about 6509.1013204589. The cubic root of 42368400 is about 348.6160313281.

The spelling of 42368400 in words is "forty-two million, three hundred sixty-eight thousand, four hundred".