402224760 has 384 divisors, whose sum is σ = 1627516800. Its totient is φ = 84049920.

The previous prime is 402224729. The next prime is 402224761. The reversal of 402224760 is 67422204.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402224761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1756326 + ... + 1756554.

It is an arithmetic number, because the mean of its divisors is an integer number (4238325).

Almost surely, 2^402224760 is an apocalyptic number.

402224760 is a gapful number since it is divisible by the number (40) 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 402224760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813758400).

402224760 is an abundant number, since it is smaller than the sum of its proper divisors (1225292040).

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

402224760 is a wasteful number, since it uses less digits than its factorization.

402224760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 304 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 402224760 is about 20055.5418774961. The cubic root of 402224760 is about 738.1697892991.

Adding to 402224760 its reverse (67422204), we get a palindrome (469646964).

It can be divided in two parts, 4022 and 24760, that added together give a palindrome (28782).

The spelling of 402224760 in words is "four hundred two million, two hundred twenty-four thousand, seven hundred sixty".