42269920 has 192 divisors, whose sum is σ = 128894976. Its totient is φ = 12718080.

The previous prime is 42269917. The next prime is 42269933. The reversal of 42269920 is 2996224.

It is a happy number.

It is a super-2 number, since 2×42269920² = 3573492273612800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 579004 + ... + 579076.

It is an arithmetic number, because the mean of its divisors is an integer number (671328).

Almost surely, 2^42269920 is an apocalyptic number.

42269920 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 42269920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64447488).

42269920 is an abundant number, since it is smaller than the sum of its proper divisors (86625056).

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

42269920 is a wasteful number, since it uses less digits than its factorization.

42269920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 42269920 is about 6501.5321271220. The cubic root of 42269920 is about 348.3457171232.

It can be divided in two parts, 42 and 269920, that added together give a palindrome (269962).

The spelling of 42269920 in words is "forty-two million, two hundred sixty-nine thousand, nine hundred twenty".