42793400 has 96 divisors (see below), whose sum is σ = 108847200. Its totient is φ = 15552000.

The previous prime is 42793367. The next prime is 42793433. The reversal of 42793400 is 439724.

It is an interprime number because it is at equal distance from previous prime (42793367) and next prime (42793433).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283325 + ... + 283475.

It is an arithmetic number, because the mean of its divisors is an integer number (1133825).

Almost surely, 2^42793400 is an apocalyptic number.

42793400 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 42793400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54423600).

42793400 is an abundant number, since it is smaller than the sum of its proper divisors (66053800).

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

42793400 is a wasteful number, since it uses less digits than its factorization.

42793400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 289 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 29.

The square root of 42793400 is about 6541.6664543524. Note that the first 3 decimals coincide. The cubic root of 42793400 is about 349.7778181713. Note that the first 3 decimals are identical.

The spelling of 42793400 in words is "forty-two million, seven hundred ninety-three thousand, four hundred".