42278400 has 180 divisors, whose sum is σ = 151714992. Its totient is φ = 11243520.

The previous prime is 42278399. The next prime is 42278413. The reversal of 42278400 is 487224.

It is a tau number, because it is divible by the number of its divisors (180).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 115017 + ... + 115383.

Almost surely, 2^42278400 is an apocalyptic number.

42278400 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 42278400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75857496).

42278400 is an abundant number, since it is smaller than the sum of its proper divisors (109436592).

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

42278400 is a wasteful number, since it uses less digits than its factorization.

42278400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 401 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 42278400 is about 6502.1842483892. The cubic root of 42278400 is about 348.3690100792.

The spelling of 42278400 in words is "forty-two million, two hundred seventy-eight thousand, four hundred".