42476544 has 132 divisors (see below), whose sum is σ = 134119440. Its totient is φ = 12840960.

The previous prime is 42476543. The next prime is 42476563. The reversal of 42476544 is 44567424.

42476544 is a `hidden beast` number, since 42 + 4 + 76 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (132).

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

It is a junction number, because it is equal to n+sod(n) for n = 42476499 and 42476508.

It is not an unprimeable number, because it can be changed into a prime (42476543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 101167 + ... + 101585.

Almost surely, 2^42476544 is an apocalyptic number.

42476544 is a gapful number since it is divisible by the number (44) 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 42476544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67059720).

42476544 is an abundant number, since it is smaller than the sum of its proper divisors (91642896).

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

42476544 is a wasteful number, since it uses less digits than its factorization.

42476544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 456 (or 435 counting only the distinct ones).

The product of its digits is 107520, while the sum is 36.

The square root of 42476544 is about 6517.4031638376. The cubic root of 42476544 is about 348.9123897844.

The spelling of 42476544 in words is "forty-two million, four hundred seventy-six thousand, five hundred forty-four".