42960480 has 48 divisors (see below), whose sum is σ = 135327024. Its totient is φ = 11456000.

The previous prime is 42960473. The next prime is 42960487. The reversal of 42960480 is 8406924.

It is an interprime number because it is at equal distance from previous prime (42960473) and next prime (42960487).

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42960487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44271 + ... + 45230.

It is an arithmetic number, because the mean of its divisors is an integer number (2819313).

Almost surely, 2^42960480 is an apocalyptic number.

42960480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42960480 is an abundant number, since it is smaller than the sum of its proper divisors (92366544).

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

42960480 is a wasteful number, since it uses less digits than its factorization.

42960480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89519 (or 89511 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42960480 is about 6554.4244598592. The cubic root of 42960480 is about 350.2324442329.

The spelling of 42960480 in words is "forty-two million, nine hundred sixty thousand, four hundred eighty".