42200480 has 96 divisors (see below), whose sum is σ = 116847360. Its totient is φ = 14100480.

The previous prime is 42200467. The next prime is 42200491. The reversal of 42200480 is 8400224.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 45461 + ... + 46379.

It is an arithmetic number, because the mean of its divisors is an integer number (1217160).

Almost surely, 2^42200480 is an apocalyptic number.

42200480 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 42200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58423680).

42200480 is an abundant number, since it is smaller than the sum of its proper divisors (74646880).

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

42200480 is a wasteful number, since it uses less digits than its factorization.

42200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 982 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 42200480 is about 6496.1896524039. The cubic root of 42200480 is about 348.1548612737.

The spelling of 42200480 in words is "forty-two million, two hundred thousand, four hundred eighty".