42747264 has 320 divisors, whose sum is σ = 157977600. Its totient is φ = 11197440.

The previous prime is 42747259. The next prime is 42747281. The reversal of 42747264 is 46274724.

It is a happy number.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1378929 + ... + 1378959.

It is an arithmetic number, because the mean of its divisors is an integer number (493680).

Almost surely, 2^42747264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42747264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78988800).

42747264 is an abundant number, since it is smaller than the sum of its proper divisors (115230336).

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

42747264 is a wasteful number, since it uses less digits than its factorization.

42747264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 62 counting only the distinct ones).

The product of its digits is 75264, while the sum is 36.

The square root of 42747264 is about 6538.1391848140. The cubic root of 42747264 is about 349.6520732965.

The spelling of 42747264 in words is "forty-two million, seven hundred forty-seven thousand, two hundred sixty-four".