42954000 has 80 divisors (see below), whose sum is σ = 138503040. Its totient is φ = 11452800.

The previous prime is 42953993. The next prime is 42954007. The reversal of 42954000 is 45924.

It is an interprime number because it is at equal distance from previous prime (42953993) and next prime (42954007).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×42954000² = 3690092232000000, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (42954007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2421 + ... + 9579.

It is an arithmetic number, because the mean of its divisors is an integer number (1731288).

Almost surely, 2^42954000 is an apocalyptic number.

42954000 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 42954000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69251520).

42954000 is an abundant number, since it is smaller than the sum of its proper divisors (95549040).

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

42954000 is a wasteful number, since it uses less digits than its factorization.

42954000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7185 (or 7169 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 42954000 is about 6553.9301186387. The cubic root of 42954000 is about 350.2148340917.

Adding to 42954000 its reverse (45924), we get a palindrome (42999924).

The spelling of 42954000 in words is "forty-two million, nine hundred fifty-four thousand".