402141600 has 432 divisors, whose sum is σ = 1657393920. Its totient is φ = 89856000.

The previous prime is 402141559. The next prime is 402141601. The reversal of 402141600 is 6141204.

402141600 is a `hidden beast` number, since 4 + 0 + 21 + 41 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (402141601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3981550 + ... + 3981650.

It is an arithmetic number, because the mean of its divisors is an integer number (3836560).

Almost surely, 2^402141600 is an apocalyptic number.

402141600 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 402141600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (828696960).

402141600 is an abundant number, since it is smaller than the sum of its proper divisors (1255252320).

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

402141600 is a wasteful number, since it uses less digits than its factorization.

402141600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 402141600 is about 20053.4685279131. The cubic root of 402141600 is about 738.1189135725.

Adding to 402141600 its reverse (6141204), we get a palindrome (408282804).

It can be divided in two parts, 40214 and 1600, that added together give a palindrome (41814).

The spelling of 402141600 in words is "four hundred two million, one hundred forty-one thousand, six hundred".