42048468 has 162 divisors, whose sum is σ = 136594458. Its totient is φ = 10866240.

The previous prime is 42048467. The next prime is 42048499. The reversal of 42048468 is 86484024.

It can be written as a sum of positive squares in only one way, i.e., 41835024 + 213444 = 6468^2 + 462^2 .

It is a super-2 number, since 2×42048468² = 3536147322294048, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42048467) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 213346 + ... + 213542.

Almost surely, 2^42048468 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 42048468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68297229).

42048468 is an abundant number, since it is smaller than the sum of its proper divisors (94545990).

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

42048468 is a wasteful number, since it uses less digits than its factorization.

42048468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42048468 is about 6484.4790075996. The cubic root of 42048468 is about 347.7363242456.

Subtracting 42048468 from its reverse (86484024), we obtain a square (44435556 = 6666²).

The spelling of 42048468 in words is "forty-two million, forty-eight thousand, four hundred sixty-eight".