114632400 has 60 divisors (see below), whose sum is σ = 367209632. Its totient is φ = 30568320.

The previous prime is 114632393. The next prime is 114632407. The reversal of 114632400 is 4236411.

It is an interprime number because it is at equal distance from previous prime (114632393) and next prime (114632407).

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114632407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46564 + ... + 48963.

Almost surely, 2^114632400 is an apocalyptic number.

114632400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114632400 is an abundant number, since it is smaller than the sum of its proper divisors (252577232).

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

114632400 is a wasteful number, since it uses less digits than its factorization.

114632400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95548 (or 95537 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 114632400 is about 10706.6521378067. The cubic root of 114632400 is about 485.7757098130.

Adding to 114632400 its reverse (4236411), we get a palindrome (118868811).

The spelling of 114632400 in words is "one hundred fourteen million, six hundred thirty-two thousand, four hundred".