114217400 has 96 divisors (see below), whose sum is σ = 292280400. Its totient is φ = 41164800.

The previous prime is 114217391. The next prime is 114217469. The reversal of 114217400 is 4712411.

It is a super-2 number, since 2×114217400² = 26091228925520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 424466 + ... + 424734.

Almost surely, 2^114217400 is an apocalyptic number.

114217400 is a gapful number since it is divisible by the number (10) 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 114217400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146140200).

114217400 is an abundant number, since it is smaller than the sum of its proper divisors (178063000).

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

114217400 is a wasteful number, since it uses less digits than its factorization.

114217400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 114217400 is about 10687.2540907382. The cubic root of 114217400 is about 485.1887882320.

Adding to 114217400 its reverse (4712411), we get a palindrome (118929811).

The spelling of 114217400 in words is "one hundred fourteen million, two hundred seventeen thousand, four hundred".