424033152 has 128 divisors (see below), whose sum is σ = 1205003520. Its totient is φ = 131788800.

The previous prime is 424033109. The next prime is 424033163. The reversal of 424033152 is 251330424.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×424033152² = 359608227990110208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 361527 + ... + 362697.

It is an arithmetic number, because the mean of its divisors is an integer number (9414090).

Almost surely, 2^424033152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 424033152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602501760).

424033152 is an abundant number, since it is smaller than the sum of its proper divisors (780970368).

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

424033152 is a wasteful number, since it uses less digits than its factorization.

424033152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1252 (or 1240 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 424033152 is about 20592.0652679618. The cubic root of 424033152 is about 751.2767302687.

Adding to 424033152 its reverse (251330424), we get a palindrome (675363576).

The spelling of 424033152 in words is "four hundred twenty-four million, thirty-three thousand, one hundred fifty-two".