42529400 has 48 divisors (see below), whose sum is σ = 99331440. Its totient is φ = 16934400.

The previous prime is 42529381. The next prime is 42529439. The reversal of 42529400 is 492524.

It is a self number, because there is not a number n which added to its sum of digits gives 42529400.

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, 67085 + ... + 67715.

It is an arithmetic number, because the mean of its divisors is an integer number (2069405).

Almost surely, 2^42529400 is an apocalyptic number.

42529400 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 42529400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49665720).

42529400 is an abundant number, since it is smaller than the sum of its proper divisors (56802040).

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

42529400 is a wasteful number, since it uses less digits than its factorization.

42529400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 42529400 is about 6521.4568924436. The cubic root of 42529400 is about 349.0570536961.

The spelling of 42529400 in words is "forty-two million, five hundred twenty-nine thousand, four hundred".