42862400 has 168 divisors, whose sum is σ = 124724160. Its totient is φ = 14192640.

The previous prime is 42862399. The next prime is 42862403. The reversal of 42862400 is 426824.

42862400 = 26³ + 27³ + ... + 114³.

It is a self number, because there is not a number n which added to its sum of digits gives 42862400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42862403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 481556 + ... + 481644.

Almost surely, 2^42862400 is an apocalyptic number.

42862400 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 42862400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62362080).

42862400 is an abundant number, since it is smaller than the sum of its proper divisors (81861760).

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

42862400 is a wasteful number, since it uses less digits than its factorization.

42862400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 42862400 is about 6546.9382156853. The cubic root of 42862400 is about 349.9657109266.

The spelling of 42862400 in words is "forty-two million, eight hundred sixty-two thousand, four hundred".