42498960 has 160 divisors (see below), whose sum is σ = 154490112. Its totient is φ = 9461760.

The previous prime is 42498943. The next prime is 42498979. The reversal of 42498960 is 6989424.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 68572 + ... + 69188.

Almost surely, 2^42498960 is an apocalyptic number.

42498960 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 42498960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77245056).

42498960 is an abundant number, since it is smaller than the sum of its proper divisors (111991152).

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

42498960 is a wasteful number, since it uses less digits than its factorization.

42498960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 42498960 is about 6519.1226403558. The cubic root of 42498960 is about 348.9737557680.

The spelling of 42498960 in words is "forty-two million, four hundred ninety-eight thousand, nine hundred sixty".