42475400 has 96 divisors (see below), whose sum is σ = 110484000. Its totient is φ = 15052800.

The previous prime is 42475397. The next prime is 42475403. The reversal of 42475400 is 457424.

It is an interprime number because it is at equal distance from previous prime (42475397) and next prime (42475403).

It is a self number, because there is not a number n which added to its sum of digits gives 42475400.

It is not an unprimeable number, because it can be changed into a prime (42475403) 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, 94376 + ... + 94824.

It is an arithmetic number, because the mean of its divisors is an integer number (1150875).

Almost surely, 2^42475400 is an apocalyptic number.

42475400 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 42475400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55242000).

42475400 is an abundant number, since it is smaller than the sum of its proper divisors (68008600).

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

42475400 is a wasteful number, since it uses less digits than its factorization.

42475400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 519 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 26.

The square root of 42475400 is about 6517.3153982296. The cubic root of 42475400 is about 348.9092573939.

It can be divided in two parts, 42475 and 400, that added together give a cube (42875 = 35³).

The spelling of 42475400 in words is "forty-two million, four hundred seventy-five thousand, four hundred".