42353280 has 320 divisors, whose sum is σ = 162914400. Its totient is φ = 10450944.

The previous prime is 42353249. The next prime is 42353303. The reversal of 42353280 is 8235324.

It is a tau number, because it is divible by the number of its divisors (320).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 984939 + ... + 984981.

Almost surely, 2^42353280 is an apocalyptic number.

42353280 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 42353280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81457200).

42353280 is an abundant number, since it is smaller than the sum of its proper divisors (120561120).

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

42353280 is a wasteful number, since it uses less digits than its factorization.

42353280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 42353280 is about 6507.9397661626. The cubic root of 42353280 is about 348.5745562228.

The spelling of 42353280 in words is "forty-two million, three hundred fifty-three thousand, two hundred eighty".