42695400 has 96 divisors (see below), whose sum is σ = 144410400. Its totient is φ = 10348800.

The previous prime is 42695399. The next prime is 42695417. The reversal of 42695400 is 459624.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 3366 + ... + 9834.

It is an arithmetic number, because the mean of its divisors is an integer number (1504275).

Almost surely, 2^42695400 is an apocalyptic number.

42695400 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 42695400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72205200).

42695400 is an abundant number, since it is smaller than the sum of its proper divisors (101715000).

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

42695400 is a wasteful number, since it uses less digits than its factorization.

42695400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6499 (or 6490 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 42695400 is about 6534.1717149154. The cubic root of 42695400 is about 349.5106085388.

It can be divided in two parts, 4269 and 5400, that added together give a palindrome (9669).

The spelling of 42695400 in words is "forty-two million, six hundred ninety-five thousand, four hundred".