42619200 has 168 divisors, whose sum is σ = 150802848. Its totient is φ = 10475520.

The previous prime is 42619189. The next prime is 42619201. The reversal of 42619200 is 291624.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42619201) 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, 62059 + ... + 62741.

It is an arithmetic number, because the mean of its divisors is an integer number (897636).

Almost surely, 2^42619200 is an apocalyptic number.

42619200 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 42619200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75401424).

42619200 is an abundant number, since it is smaller than the sum of its proper divisors (108183648).

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

42619200 is a wasteful number, since it uses less digits than its factorization.

42619200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 42619200 is about 6528.3382265321. The cubic root of 42619200 is about 349.3025567095.

The spelling of 42619200 in words is "forty-two million, six hundred nineteen thousand, two hundred".