114342480 has 240 divisors, whose sum is σ = 448780800. Its totient is φ = 26078976.

The previous prime is 114342439. The next prime is 114342497. The reversal of 114342480 is 84243411.

114342480 is a `hidden beast` number, since 1 + 143 + 42 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246729 + ... + 247191.

It is an arithmetic number, because the mean of its divisors is an integer number (1869920).

Almost surely, 2^114342480 is an apocalyptic number.

114342480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

114342480 is the 6174-th octagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114342480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224390400).

114342480 is an abundant number, since it is smaller than the sum of its proper divisors (334438320).

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

114342480 is a wasteful number, since it uses less digits than its factorization.

114342480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 114342480 is about 10693.1043200747. The cubic root of 114342480 is about 485.3658344441.

Adding to 114342480 its reverse (84243411), we get a palindrome (198585891).

The spelling of 114342480 in words is "one hundred fourteen million, three hundred forty-two thousand, four hundred eighty".