42592480 has 96 divisors (see below), whose sum is σ = 121818816. Its totient is φ = 13737984.

The previous prime is 42592469. The next prime is 42592499. The reversal of 42592480 is 8429524.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17922 + ... + 20158.

It is an arithmetic number, because the mean of its divisors is an integer number (1268946).

Almost surely, 2^42592480 is an apocalyptic number.

42592480 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 42592480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60909408).

42592480 is an abundant number, since it is smaller than the sum of its proper divisors (79226336).

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

42592480 is a wasteful number, since it uses less digits than its factorization.

42592480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2276 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 42592480 is about 6526.2914430785. The cubic root of 42592480 is about 349.2295433298.

It can be divided in two parts, 425 and 92480, that multiplied together give a cube (39304000 = 340³).

The spelling of 42592480 in words is "forty-two million, five hundred ninety-two thousand, four hundred eighty".