42167400 has 96 divisors (see below), whose sum is σ = 142624800. Its totient is φ = 10220800.

The previous prime is 42167387. The next prime is 42167401. The reversal of 42167400 is 476124.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42167401) 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 23 ways as a sum of consecutive naturals, for example, 3406 + ... + 9794.

It is an arithmetic number, because the mean of its divisors is an integer number (1485675).

Almost surely, 2^42167400 is an apocalyptic number.

42167400 is a gapful number since it is divisible by the number (40) 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 42167400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71312400).

42167400 is an abundant number, since it is smaller than the sum of its proper divisors (100457400).

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

42167400 is a wasteful number, since it uses less digits than its factorization.

42167400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6419 (or 6410 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 42167400 is about 6493.6430453175. The cubic root of 42167400 is about 348.0638672580.

The spelling of 42167400 in words is "forty-two million, one hundred sixty-seven thousand, four hundred".