42465280 has 192 divisors, whose sum is σ = 123832800. Its totient is φ = 13762560.

The previous prime is 42465271. The next prime is 42465289. The reversal of 42465280 is 8256424.

It is an interprime number because it is at equal distance from previous prime (42465271) and next prime (42465289).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42465289) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1464306 + ... + 1464334.

Almost surely, 2^42465280 is an apocalyptic number.

42465280 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 42465280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

42465280 is an abundant number, since it is smaller than the sum of its proper divisors (81367520).

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

42465280 is a wasteful number, since it uses less digits than its factorization.

42465280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 42465280 is about 6516.5389586804. The cubic root of 42465280 is about 348.8815453367.

Subtracting from 42465280 its reverse (8256424), we obtain a triangular number (34208856 = T₈₂₇₁).

The spelling of 42465280 in words is "forty-two million, four hundred sixty-five thousand, two hundred eighty".