42654480 has 160 divisors (see below), whose sum is σ = 146562048. Its totient is φ = 10176000.

The previous prime is 42654467. The next prime is 42654499. The reversal of 42654480 is 8445624.

It is a Smith number, since the sum of its digits (33) 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 (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 282405 + ... + 282555.

Almost surely, 2^42654480 is an apocalyptic number.

42654480 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 42654480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73281024).

42654480 is an abundant number, since it is smaller than the sum of its proper divisors (103907568).

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

42654480 is a wasteful number, since it uses less digits than its factorization.

42654480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 42654480 is about 6531.0397334575. The cubic root of 42654480 is about 349.3989138705.

Subtracting from 42654480 its reverse (8445624), we obtain a triangular number (34208856 = T₈₂₇₁).

It can be divided in two parts, 426544 and 80, that added together give a palindrome (426624).

The spelling of 42654480 in words is "forty-two million, six hundred fifty-four thousand, four hundred eighty".