114351460 has 48 divisors (see below), whose sum is σ = 252710640. Its totient is φ = 43407360.

The previous prime is 114351451. The next prime is 114351463. The reversal of 114351460 is 64153411.

It can be written as a sum of positive squares in 8 ways, for example, as 331776 + 114019684 = 576^2 + 10678^2 .

It is not an unprimeable number, because it can be changed into a prime (114351463) 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, 28456 + ... + 32224.

It is an arithmetic number, because the mean of its divisors is an integer number (5264805).

Almost surely, 2^114351460 is an apocalyptic number.

114351460 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 114351460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126355320).

114351460 is an abundant number, since it is smaller than the sum of its proper divisors (138359180).

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

114351460 is a wasteful number, since it uses less digits than its factorization.

114351460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3856 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 114351460 is about 10693.5242086040. The cubic root of 114351460 is about 485.3785403405.

The spelling of 114351460 in words is "one hundred fourteen million, three hundred fifty-one thousand, four hundred sixty".