42646500 has 216 divisors, whose sum is σ = 150449208. Its totient is φ = 10497600.

The previous prime is 42646493. The next prime is 42646511. The reversal of 42646500 is 564624.

It is a happy number.

42646500 is a `hidden beast` number, since 4 + 2 + 6 + 4 + 650 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 6718464 + 35928036 = 2592^2 + 5994^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3280494 + ... + 3280506.

Almost surely, 2^42646500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42646500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75224604).

42646500 is an abundant number, since it is smaller than the sum of its proper divisors (107802708).

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

42646500 is an equidigital number, since it uses as much as digits as its factorization.

42646500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56 (or 23 counting only the distinct ones).

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

The square root of 42646500 is about 6530.4287761218. The cubic root of 42646500 is about 349.3771234495.

The spelling of 42646500 in words is "forty-two million, six hundred forty-six thousand, five hundred".