42254784 has 336 divisors, whose sum is σ = 155326080. Its totient is φ = 11197440.

The previous prime is 42254759. The next prime is 42254791. The reversal of 42254784 is 48745224.

It is a super-3 number, since 3×42254784³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (71680) is a multiple of the sum of its prime factors (70).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2223927 + ... + 2223945.

It is an arithmetic number, because the mean of its divisors is an integer number (462280).

Almost surely, 2^42254784 is an apocalyptic number.

42254784 is a gapful number since it is divisible by the number (44) 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 42254784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77663040).

42254784 is an abundant number, since it is smaller than the sum of its proper divisors (113071296).

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

42254784 is a wasteful number, since it uses less digits than its factorization.

42254784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 48 counting only the distinct ones).

The product of its digits is 71680, while the sum is 36.

The square root of 42254784 is about 6500.3679895834. The cubic root of 42254784 is about 348.3041336502.

It can be divided in two parts, 4225 and 4784, that added together give a palindrome (9009).

The spelling of 42254784 in words is "forty-two million, two hundred fifty-four thousand, seven hundred eighty-four".