42480864 has 36 divisors (see below), whose sum is σ = 120805776. Its totient is φ = 14160192.

The previous prime is 42480863. The next prime is 42480887. The reversal of 42480864 is 46808424.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42480863) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 73464 + ... + 74039.

It is an arithmetic number, because the mean of its divisors is an integer number (3355716).

Almost surely, 2^42480864 is an apocalyptic number.

It is an amenable number.

42480864 is an abundant number, since it is smaller than the sum of its proper divisors (78324912).

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

42480864 is a wasteful number, since it uses less digits than its factorization.

42480864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147519 (or 147508 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42480864 is about 6517.7345757556. The cubic root of 42480864 is about 348.9242178843.

The spelling of 42480864 in words is "forty-two million, four hundred eighty thousand, eight hundred sixty-four".