402424320 has 160 divisors (see below), whose sum is σ = 1309112640. Its totient is φ = 105431040.

The previous prime is 402424303. The next prime is 402424327. The reversal of 402424320 is 23424204.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (402424327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 468051 + ... + 468909.

It is an arithmetic number, because the mean of its divisors is an integer number (8181954).

Almost surely, 2^402424320 is an apocalyptic number.

402424320 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 402424320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (654556320).

402424320 is an abundant number, since it is smaller than the sum of its proper divisors (906688320).

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

402424320 is an equidigital number, since it uses as much as digits as its factorization.

402424320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 930 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 21.

The square root of 402424320 is about 20060.5164440001. The cubic root of 402424320 is about 738.2918477620.

Adding to 402424320 its reverse (23424204), we get a palindrome (425848524).

The spelling of 402424320 in words is "four hundred two million, four hundred twenty-four thousand, three hundred twenty".