42264840 has 64 divisors (see below), whose sum is σ = 128136960. Its totient is φ = 11151360.

The previous prime is 42264791. The next prime is 42264851. The reversal of 42264840 is 4846224.

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

It is a junction number, because it is equal to n+sod(n) for n = 42264798 and 42264807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9825 + ... + 13455.

It is an arithmetic number, because the mean of its divisors is an integer number (2002140).

Almost surely, 2^42264840 is an apocalyptic number.

42264840 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 42264840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64068480).

42264840 is an abundant number, since it is smaller than the sum of its proper divisors (85872120).

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

42264840 is a wasteful number, since it uses less digits than its factorization.

42264840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3742 (or 3738 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 42264840 is about 6501.1414382399. The cubic root of 42264840 is about 348.3317618319.

The spelling of 42264840 in words is "forty-two million, two hundred sixty-four thousand, eight hundred forty".