114829407 has 144 divisors (see below), whose sum is σ = 239645952. Its totient is φ = 53187840.

The previous prime is 114829349. The next prime is 114829411. The reversal of 114829407 is 704928411.

It is not a de Polignac number, because 114829407 - 2¹¹ = 114827359 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114829417) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6043644 + ... + 6043662.

It is an arithmetic number, because the mean of its divisors is an integer number (1664208).

Almost surely, 2^114829407 is an apocalyptic number.

114829407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

114829407 is an abundant number, since it is smaller than the sum of its proper divisors (124816545).

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

114829407 is a wasteful number, since it uses less digits than its factorization.

114829407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The square root of 114829407 is about 10715.8484031830. The cubic root of 114829407 is about 486.0538349143.

The spelling of 114829407 in words is "one hundred fourteen million, eight hundred twenty-nine thousand, four hundred seven".