42400680 has 96 divisors (see below), whose sum is σ = 147990240. Its totient is φ = 9690240.

The previous prime is 42400679. The next prime is 42400681. The reversal of 42400680 is 8600424.

It is an interprime number because it is at equal distance from previous prime (42400679) and next prime (42400681).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42400680.

It is not an unprimeable number, because it can be changed into a prime (42400681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2275 + ... + 9485.

It is an arithmetic number, because the mean of its divisors is an integer number (1541565).

Almost surely, 2^42400680 is an apocalyptic number.

42400680 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 42400680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73995120).

42400680 is an abundant number, since it is smaller than the sum of its proper divisors (105589560).

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

42400680 is a wasteful number, since it uses less digits than its factorization.

42400680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7239 (or 7228 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 42400680 is about 6511.5804533155. The cubic root of 42400680 is about 348.7045443769.

The spelling of 42400680 in words is "forty-two million, four hundred thousand, six hundred eighty".