42033464 has 48 divisors (see below), whose sum is σ = 87476760. Its totient is φ = 18920000.

The previous prime is 42033437. The next prime is 42033479. The reversal of 42033464 is 46433024.

42033464 is nontrivially palindromic in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167339 + ... + 167589.

Almost surely, 2^42033464 is an apocalyptic number.

42033464 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 42033464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43738380).

42033464 is an abundant number, since it is smaller than the sum of its proper divisors (45443296).

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

42033464 is a wasteful number, since it uses less digits than its factorization.

42033464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

The square root of 42033464 is about 6483.3219879935. The cubic root of 42033464 is about 347.6949588345.

Adding to 42033464 its reverse (46433024), we get a palindrome (88466488).

It can be divided in two parts, 4203 and 3464, that added together give a palindrome (7667).

The spelling of 42033464 in words is "forty-two million, thirty-three thousand, four hundred sixty-four".