402252400 has 90 divisors (see below), whose sum is σ = 1062381656. Its totient is φ = 146256000.

The previous prime is 402252391. The next prime is 402252407. The reversal of 402252400 is 4252204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402252407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 44245 + ... + 52555.

Almost surely, 2^402252400 is an apocalyptic number.

402252400 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 402252400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (531190828).

402252400 is an abundant number, since it is smaller than the sum of its proper divisors (660129256).

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

402252400 is a wasteful number, since it uses less digits than its factorization.

402252400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8351 (or 8329 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 19.

The square root of 402252400 is about 20056.2309520009. The cubic root of 402252400 is about 738.1866973794.

The spelling of 402252400 in words is "four hundred two million, two hundred fifty-two thousand, four hundred".