42309540 has 360 divisors, whose sum is σ = 170328312. Its totient is φ = 8709120.

The previous prime is 42309479. The next prime is 42309551. The reversal of 42309540 is 4590324.

It can be written as a sum of positive squares in 4 ways, for example, as 1016064 + 41293476 = 1008^2 + 6426^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1031920 + ... + 1031960.

Almost surely, 2^42309540 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 42309540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85164156).

42309540 is an abundant number, since it is smaller than the sum of its proper divisors (128018772).

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

42309540 is a wasteful number, since it uses less digits than its factorization.

42309540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42309540 is about 6504.5783875667. The cubic root of 42309540 is about 348.4545190599.

Adding to 42309540 its reverse (4590324), we get a palindrome (46899864).

It can be divided in two parts, 42309 and 540, that added together give a square (42849 = 207²).

The spelling of 42309540 in words is "forty-two million, three hundred nine thousand, five hundred forty".