42078400 has 252 divisors, whose sum is σ = 135369808. Its totient is φ = 12533760.

The previous prime is 42078397. The next prime is 42078401. The reversal of 42078400 is 487024.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (42078401) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2475192 + ... + 2475208.

Almost surely, 2^42078400 is an apocalyptic number.

42078400 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 42078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67684904).

42078400 is an abundant number, since it is smaller than the sum of its proper divisors (93291408).

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

42078400 is a wasteful number, since it uses less digits than its factorization.

42078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 42078400 is about 6486.7865696352. The cubic root of 42078400 is about 347.8188161524.

The spelling of 42078400 in words is "forty-two million, seventy-eight thousand, four hundred".