42786400 has 72 divisors (see below), whose sum is σ = 105930720. Its totient is φ = 16872960.

The previous prime is 42786389. The next prime is 42786413. The reversal of 42786400 is 468724.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62862 + ... + 63538.

It is an arithmetic number, because the mean of its divisors is an integer number (1471260).

Almost surely, 2^42786400 is an apocalyptic number.

42786400 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 42786400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52965360).

42786400 is an abundant number, since it is smaller than the sum of its proper divisors (63144320).

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

42786400 is a wasteful number, since it uses less digits than its factorization.

42786400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 776 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 31.

The square root of 42786400 is about 6541.1314006065. The cubic root of 42786400 is about 349.7587453062.

The spelling of 42786400 in words is "forty-two million, seven hundred eighty-six thousand, four hundred".