42715400 has 96 divisors (see below), whose sum is σ = 122283840. Its totient is φ = 13512960.

The previous prime is 42715397. The next prime is 42715411. The reversal of 42715400 is 451724.

It is a zygodrome in base 9.

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, 17027 + ... + 19373.

It is an arithmetic number, because the mean of its divisors is an integer number (1273790).

Almost surely, 2^42715400 is an apocalyptic number.

42715400 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 42715400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61141920).

42715400 is an abundant number, since it is smaller than the sum of its proper divisors (79568440).

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

42715400 is a wasteful number, since it uses less digits than its factorization.

42715400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2383 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 23.

The square root of 42715400 is about 6535.7019515887. The cubic root of 42715400 is about 349.5651742997.

The spelling of 42715400 in words is "forty-two million, seven hundred fifteen thousand, four hundred".