402334400 has 252 divisors, whose sum is σ = 1152186672. Its totient is φ = 137195520.

The previous prime is 402334391. The next prime is 402334417. The reversal of 402334400 is 4433204.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13873586 + ... + 13873614.

Almost surely, 2^402334400 is an apocalyptic number.

402334400 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 402334400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576093336).

402334400 is an abundant number, since it is smaller than the sum of its proper divisors (749852272).

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

402334400 is a wasteful number, since it uses less digits than its factorization.

402334400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 402334400 is about 20058.2751003171. The cubic root of 402334400 is about 738.2368542763.

Adding to 402334400 its reverse (4433204), we get a palindrome (406767604).

The spelling of 402334400 in words is "four hundred two million, three hundred thirty-four thousand, four hundred".