42929280 has 192 divisors, whose sum is σ = 153948600. Its totient is φ = 11010048.

The previous prime is 42929279. The next prime is 42929281. The reversal of 42929280 is 8292924.

It is an interprime number because it is at equal distance from previous prime (42929279) and next prime (42929281).

It can be written as a sum of positive squares in 4 ways, for example, as 42302016 + 627264 = 6504^2 + 792^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (42929281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166912 + ... + 167168.

Almost surely, 2^42929280 is an apocalyptic number.

42929280 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 42929280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76974300).

42929280 is an abundant number, since it is smaller than the sum of its proper divisors (111019320).

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

42929280 is a wasteful number, since it uses less digits than its factorization.

42929280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 42929280 is about 6552.0439558965. The cubic root of 42929280 is about 350.1476383941.

The spelling of 42929280 in words is "forty-two million, nine hundred twenty-nine thousand, two hundred eighty".