42629600 has 72 divisors (see below), whose sum is σ = 112102200. Its totient is φ = 15736320.

The previous prime is 42629599. The next prime is 42629617. The reversal of 42629600 is 692624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8351 + ... + 12449.

It is an arithmetic number, because the mean of its divisors is an integer number (1556975).

Almost surely, 2^42629600 is an apocalyptic number.

42629600 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 42629600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56051100).

42629600 is an abundant number, since it is smaller than the sum of its proper divisors (69472600).

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

42629600 is a wasteful number, since it uses less digits than its factorization.

42629600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4132 (or 4119 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 42629600 is about 6529.1347053036. The cubic root of 42629600 is about 349.3309668403.

The spelling of 42629600 in words is "forty-two million, six hundred twenty-nine thousand, six hundred".