42054000 has 160 divisors (see below), whose sum is σ = 139586304. Its totient is φ = 10886400.

The previous prime is 42053983. The next prime is 42054017. The reversal of 42054000 is 45024.

It is an interprime number because it is at equal distance from previous prime (42053983) and next prime (42054017).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257919 + ... + 258081.

Almost surely, 2^42054000 is an apocalyptic number.

42054000 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 42054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69793152).

42054000 is an abundant number, since it is smaller than the sum of its proper divisors (97532304).

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

42054000 is a wasteful number, since it uses less digits than its factorization.

42054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 15.

The square root of 42054000 is about 6484.9055505844. The cubic root of 42054000 is about 347.7515732593.

Adding to 42054000 its reverse (45024), we get a palindrome (42099024).

The spelling of 42054000 in words is "forty-two million, fifty-four thousand", and thus it is an eban number.