42365280 has 48 divisors (see below), whose sum is σ = 133452144. Its totient is φ = 11297280.

The previous prime is 42365263. The next prime is 42365303. The reversal of 42365280 is 8256324.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 43651 + ... + 44610.

It is an arithmetic number, because the mean of its divisors is an integer number (2780253).

Almost surely, 2^42365280 is an apocalyptic number.

42365280 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42365280 is an abundant number, since it is smaller than the sum of its proper divisors (91086864).

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

42365280 is a wasteful number, since it uses less digits than its factorization.

42365280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88279 (or 88271 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 42365280 is about 6508.8616516254. The cubic root of 42365280 is about 348.6074737811.

It can be divided in two parts, 423 and 65280, that added together give a triangular number (65703 = T₃₆₂).

The spelling of 42365280 in words is "forty-two million, three hundred sixty-five thousand, two hundred eighty".