42584400 has 120 divisors (see below), whose sum is σ = 151607360. Its totient is φ = 11352960.

The previous prime is 42584393. The next prime is 42584407. The reversal of 42584400 is 448524.

42584400 is a `hidden beast` number, since 4 + 258 + 4 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (42584393) and next prime (42584407).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×42584400² = 3626862246720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42584407) 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, 8829 + ... + 12771.

Almost surely, 2^42584400 is an apocalyptic number.

42584400 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 42584400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75803680).

42584400 is an abundant number, since it is smaller than the sum of its proper divisors (109022960).

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

42584400 is a wasteful number, since it uses less digits than its factorization.

42584400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3970 (or 3953 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 42584400 is about 6525.6723791499. The cubic root of 42584400 is about 349.2074584205.

The spelling of 42584400 in words is "forty-two million, five hundred eighty-four thousand, four hundred".