210453350400 has 432 divisors, whose sum is σ = 758768037300. Its totient is φ = 55744266240.

The previous prime is 210453350381. The next prime is 210453350417. The reversal of 210453350400 is 4053354012.

210453350400 is a `hidden beast` number, since 2 + 104 + 53 + 3 + 504 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 96328295424 + 114125054976 = 310368^2 + 337824^2 .

It is a super-2 number, since 2×210453350400² (a number of 23 digits) contains 22 as substring.

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, 72344146 + ... + 72347054.

Almost surely, 2^210453350400 is an apocalyptic number.

210453350400 is a gapful number since it is divisible by the number (20) 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 210453350400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379384018650).

210453350400 is an abundant number, since it is smaller than the sum of its proper divisors (548314686900).

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

210453350400 is a wasteful number, since it uses less digits than its factorization.

210453350400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The spelling of 210453350400 in words is "two hundred ten billion, four hundred fifty-three million, three hundred fifty thousand, four hundred".