42945400 has 72 divisors (see below), whose sum is σ = 106209720. Its totient is φ = 16145920.

The previous prime is 42945379. The next prime is 42945401. The reversal of 42945400 is 454924.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42945401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 57429 + ... + 58171.

It is an arithmetic number, because the mean of its divisors is an integer number (1475135).

Almost surely, 2^42945400 is an apocalyptic number.

42945400 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 42945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53104860).

42945400 is an abundant number, since it is smaller than the sum of its proper divisors (63264320).

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

42945400 is a wasteful number, since it uses less digits than its factorization.

42945400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 793 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 42945400 is about 6553.2739909148. The cubic root of 42945400 is about 350.1914598728.

The spelling of 42945400 in words is "forty-two million, nine hundred forty-five thousand, four hundred".