214202496 has 128 divisors (see below), whose sum is σ = 603187200. Its totient is φ = 67212288.

The previous prime is 214202419. The next prime is 214202501. The reversal of 214202496 is 694202412.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 697575 + ... + 697881.

It is an arithmetic number, because the mean of its divisors is an integer number (4712400).

Almost surely, 2^214202496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 214202496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301593600).

214202496 is an abundant number, since it is smaller than the sum of its proper divisors (388984704).

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

214202496 is a wasteful number, since it uses less digits than its factorization.

214202496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 214202496 is about 14635.6583726186. The cubic root of 214202496 is about 598.3310061818.

The spelling of 214202496 in words is "two hundred fourteen million, two hundred two thousand, four hundred ninety-six".