42007504 has 60 divisors (see below), whose sum is σ = 103305888. Its totient is φ = 16363200.

The previous prime is 42007501. The next prime is 42007523. The reversal of 42007504 is 40570024.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42007501) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6189 + ... + 11059.

Almost surely, 2^42007504 is an apocalyptic number.

42007504 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 42007504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51652944).

42007504 is an abundant number, since it is smaller than the sum of its proper divisors (61298384).

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

42007504 is a wasteful number, since it uses less digits than its factorization.

42007504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4904 (or 4891 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 22.

The square root of 42007504 is about 6481.3196187196. The cubic root of 42007504 is about 347.6233649257.

Adding to 42007504 its reverse (40570024), we get a palindrome (82577528).

The spelling of 42007504 in words is "forty-two million, seven thousand, five hundred four".