42619500 has 384 divisors, whose sum is σ = 176117760. Its totient is φ = 8640000.

The previous prime is 42619481. The next prime is 42619501. The reversal of 42619500 is 591624.

42619500 is a `hidden beast` number, since 42 + 619 + 5 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42619501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1039480 + ... + 1039520.

It is an arithmetic number, because the mean of its divisors is an integer number (458640).

Almost surely, 2^42619500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42619500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88058880).

42619500 is an abundant number, since it is smaller than the sum of its proper divisors (133498260).

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

42619500 is a wasteful number, since it uses less digits than its factorization.

42619500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 69 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 42619500 is about 6528.3612032424. The cubic root of 42619500 is about 349.3033762973.

The spelling of 42619500 in words is "forty-two million, six hundred nineteen thousand, five hundred".