42465360 has 240 divisors, whose sum is σ = 160811136. Its totient is φ = 9225216.

The previous prime is 42465359. The next prime is 42465407. The reversal of 42465360 is 6356424.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 270402 + ... + 270558.

Almost surely, 2^42465360 is an apocalyptic number.

42465360 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 42465360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80405568).

42465360 is an abundant number, since it is smaller than the sum of its proper divisors (118345776).

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

42465360 is a wasteful number, since it uses less digits than its factorization.

42465360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 42465360 is about 6516.5450969053. The cubic root of 42465360 is about 348.8817644216.

The spelling of 42465360 in words is "forty-two million, four hundred sixty-five thousand, three hundred sixty".