42878400 has 84 divisors (see below), whose sum is σ = 140692632. Its totient is φ = 11432960.

The previous prime is 42878399. The next prime is 42878401. The reversal of 42878400 is 487824.

It is an interprime number because it is at equal distance from previous prime (42878399) and next prime (42878401).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42878401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 334 + ... + 9266.

Almost surely, 2^42878400 is an apocalyptic number.

42878400 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 42878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70346316).

42878400 is an abundant number, since it is smaller than the sum of its proper divisors (97814232).

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

42878400 is a wasteful number, since it uses less digits than its factorization.

42878400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8958 (or 8943 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 42878400 is about 6548.1600469139. The cubic root of 42878400 is about 350.0092514561.

The spelling of 42878400 in words is "forty-two million, eight hundred seventy-eight thousand, four hundred".