42515400 has 96 divisors (see below), whose sum is σ = 134143200. Its totient is φ = 11136000.

The previous prime is 42515399. The next prime is 42515411. The reversal of 42515400 is 451524.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34800 + ... + 36000.

It is an arithmetic number, because the mean of its divisors is an integer number (1397325).

Almost surely, 2^42515400 is an apocalyptic number.

42515400 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 42515400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67071600).

42515400 is an abundant number, since it is smaller than the sum of its proper divisors (91627800).

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

42515400 is a wasteful number, since it uses less digits than its factorization.

42515400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1279 (or 1270 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 42515400 is about 6520.3834243087. The cubic root of 42515400 is about 349.0187481547.

Adding to 42515400 its reverse (451524), we get a palindrome (42966924).

The spelling of 42515400 in words is "forty-two million, five hundred fifteen thousand, four hundred".