42880464 has 180 divisors, whose sum is σ = 138928608. Its totient is φ = 12312960.

The previous prime is 42880463. The next prime is 42880493. The reversal of 42880464 is 46408824.

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

It is a zygodrome in base 3 and base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42880463) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 400699 + ... + 400805.

Almost surely, 2^42880464 is an apocalyptic number.

42880464 is a gapful number since it is divisible by the number (44) 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 42880464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69464304).

42880464 is an abundant number, since it is smaller than the sum of its proper divisors (96048144).

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

42880464 is a wasteful number, since it uses less digits than its factorization.

42880464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 42880464 is about 6548.3176465410. The cubic root of 42880464 is about 350.0148673957.

The spelling of 42880464 in words is "forty-two million, eight hundred eighty thousand, four hundred sixty-four".