42624750 has 128 divisors (see below), whose sum is σ = 127236096. Its totient is φ = 9292800.

The previous prime is 42624731. The next prime is 42624811. The reversal of 42624750 is 5742624.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120574 + ... + 120926.

It is an arithmetic number, because the mean of its divisors is an integer number (994032).

Almost surely, 2^42624750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42624750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63618048).

42624750 is an abundant number, since it is smaller than the sum of its proper divisors (84611346).

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

42624750 is a wasteful number, since it uses less digits than its factorization.

42624750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 42624750 is about 6528.7632825827. The cubic root of 42624750 is about 349.3177184601.

The spelling of 42624750 in words is "forty-two million, six hundred twenty-four thousand, seven hundred fifty".