42630408 has 64 divisors (see below), whose sum is σ = 123580800. Its totient is φ = 13590720.

The previous prime is 42630403. The next prime is 42630409. The reversal of 42630408 is 80403624.

It is a super-3 number, since 3×42630408³ (a number of 24 digits) contains 333 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42630403) 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 15 ways as a sum of consecutive naturals, for example, 678 + ... + 9258.

It is an arithmetic number, because the mean of its divisors is an integer number (1930950).

Almost surely, 2^42630408 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 42630408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61790400).

42630408 is an abundant number, since it is smaller than the sum of its proper divisors (80950392).

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

42630408 is a wasteful number, since it uses less digits than its factorization.

42630408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8619 (or 8609 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42630408 is about 6529.1965815099. The cubic root of 42630408 is about 349.3331738955. Note that the first 3 decimals are identical.

The spelling of 42630408 in words is "forty-two million, six hundred thirty thousand, four hundred eight".