42749280 has 144 divisors (see below), whose sum is σ = 166761504. Its totient is φ = 9768960.

The previous prime is 42749269. The next prime is 42749299. The reversal of 42749280 is 8294724.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7960 + ... + 12200.

It is an arithmetic number, because the mean of its divisors is an integer number (1158066).

Almost surely, 2^42749280 is an apocalyptic number.

42749280 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 42749280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83380752).

42749280 is an abundant number, since it is smaller than the sum of its proper divisors (124012224).

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

42749280 is a wasteful number, since it uses less digits than its factorization.

42749280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4269 (or 4258 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 42749280 is about 6538.2933553030. The cubic root of 42749280 is about 349.6575698471.

The spelling of 42749280 in words is "forty-two million, seven hundred forty-nine thousand, two hundred eighty".