210053424 has 80 divisors (see below), whose sum is σ = 622103040. Its totient is φ = 59827200.

The previous prime is 210053423. The next prime is 210053449. The reversal of 210053424 is 424350012.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 210053424.

It is not an unprimeable number, because it can be changed into a prime (210053423) 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, 133957 + ... + 135515.

It is an arithmetic number, because the mean of its divisors is an integer number (7776288).

Almost surely, 2^210053424 is an apocalyptic number.

210053424 is a gapful number since it is divisible by the number (24) 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 210053424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (311051520).

210053424 is an abundant number, since it is smaller than the sum of its proper divisors (412049616).

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

210053424 is a wasteful number, since it uses less digits than its factorization.

210053424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1978 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 210053424 is about 14493.2199320924. The cubic root of 210053424 is about 594.4425954608.

The spelling of 210053424 in words is "two hundred ten million, fifty-three thousand, four hundred twenty-four".