402133424 has 80 divisors (see below), whose sum is σ = 981127680. Its totient is φ = 155105280.

The previous prime is 402133409. The next prime is 402133477. The reversal of 402133424 is 424331204.

It is a super-2 number, since 2×402133424² = 323422581395927552, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 402133424.

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, 125312 + ... + 128480.

It is an arithmetic number, because the mean of its divisors is an integer number (12264096).

Almost surely, 2^402133424 is an apocalyptic number.

402133424 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 402133424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490563840).

402133424 is an abundant number, since it is smaller than the sum of its proper divisors (578994256).

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

402133424 is a wasteful number, since it uses less digits than its factorization.

402133424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3298 (or 3292 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 402133424 is about 20053.2646718683. The cubic root of 402133424 is about 738.1139112706.

Adding to 402133424 its reverse (424331204), we get a palindrome (826464628).

The spelling of 402133424 in words is "four hundred two million, one hundred thirty-three thousand, four hundred twenty-four".