114629500 has 48 divisors (see below), whose sum is σ = 253955520. Its totient is φ = 45192000.

The previous prime is 114629497. The next prime is 114629503. The reversal of 114629500 is 5926411.

It is an interprime number because it is at equal distance from previous prime (114629497) and next prime (114629503).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114629503) 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, 33886 + ... + 37114.

It is an arithmetic number, because the mean of its divisors is an integer number (5290740).

Almost surely, 2^114629500 is an apocalyptic number.

114629500 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 114629500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126977760).

114629500 is an abundant number, since it is smaller than the sum of its proper divisors (139326020).

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

114629500 is a wasteful number, since it uses less digits than its factorization.

114629500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3319 (or 3307 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 114629500 is about 10706.5167071275. The cubic root of 114629500 is about 485.7716133521.

The spelling of 114629500 in words is "one hundred fourteen million, six hundred twenty-nine thousand, five hundred".