42415296 has 224 divisors, whose sum is σ = 148254720. Its totient is φ = 10368000.

The previous prime is 42415273. The next prime is 42415319. The reversal of 42415296 is 69251424.

It is an interprime number because it is at equal distance from previous prime (42415273) and next prime (42415319).

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 280821 + ... + 280971.

Almost surely, 2^42415296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42415296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74127360).

42415296 is an abundant number, since it is smaller than the sum of its proper divisors (105839424).

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

42415296 is a wasteful number, since it uses less digits than its factorization.

42415296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 193 counting only the distinct ones).

The product of its digits is 17280, while the sum is 33.

The square root of 42415296 is about 6512.7026647929. The cubic root of 42415296 is about 348.7446072572.

The spelling of 42415296 in words is "forty-two million, four hundred fifteen thousand, two hundred ninety-six".