402033420 has 144 divisors (see below), whose sum is σ = 1272311040. Its totient is φ = 102643200.

The previous prime is 402033403. The next prime is 402033421. The reversal of 402033420 is 24330204.

402033420 is a `hidden beast` number, since 40 + 203 + 3 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 402033393 and 402033402.

It is not an unprimeable number, because it can be changed into a prime (402033421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 607890 + ... + 608550.

Almost surely, 2^402033420 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 402033420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636155520).

402033420 is an abundant number, since it is smaller than the sum of its proper divisors (870277620).

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

402033420 is a wasteful number, since it uses less digits than its factorization.

402033420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 402033420 is about 20050.7710574930. The cubic root of 402033420 is about 738.0527205821.

Adding to 402033420 its reverse (24330204), we get a palindrome (426363624).

The spelling of 402033420 in words is "four hundred two million, thirty-three thousand, four hundred twenty".