42461532 has 36 divisors (see below), whose sum is σ = 107639896. Its totient is φ = 14113440.

The previous prime is 42461501. The next prime is 42461567. The reversal of 42461532 is 23516424.

42461532 is a `hidden beast` number, since 42 + 4 + 615 + 3 + 2 = 666.

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

It is a super-3 number, since 3×42461532³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42461496 and 42461505.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12807 + ... + 15777.

Almost surely, 2^42461532 is an apocalyptic number.

It is an amenable number.

42461532 is an abundant number, since it is smaller than the sum of its proper divisors (65178364).

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

42461532 is a wasteful number, since it uses less digits than its factorization.

42461532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3378 (or 3373 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 42461532 is about 6516.2513763666. The cubic root of 42461532 is about 348.8712809003.

Adding to 42461532 its reverse (23516424), we get a palindrome (65977956).

It can be divided in two parts, 4246 and 1532, that added together give a triangular number (5778 = T₁₀₇).

The spelling of 42461532 in words is "forty-two million, four hundred sixty-one thousand, five hundred thirty-two".