42200400 has 240 divisors, whose sum is σ = 154990080. Its totient is φ = 9715200.

The previous prime is 42200381. The next prime is 42200429. The reversal of 42200400 is 400224.

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 (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 303531 + ... + 303669.

It is an arithmetic number, because the mean of its divisors is an integer number (645792).

Almost surely, 2^42200400 is an apocalyptic number.

42200400 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 42200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

42200400 is an abundant number, since it is smaller than the sum of its proper divisors (112789680).

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

42200400 is a wasteful number, since it uses less digits than its factorization.

42200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 42200400 is about 6496.1834949453. The cubic root of 42200400 is about 348.1546412730.

Adding to 42200400 its reverse (400224), we get a palindrome (42600624).

The spelling of 42200400 in words is "forty-two million, two hundred thousand, four hundred".