114396480 has 336 divisors, whose sum is σ = 450762624. Its totient is φ = 26357760.

The previous prime is 114396463. The next prime is 114396509. The reversal of 114396480 is 84693411.

114396480 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 9 + 648 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 728562 + ... + 728718.

Almost surely, 2^114396480 is an apocalyptic number.

114396480 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 114396480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225381312).

114396480 is an abundant number, since it is smaller than the sum of its proper divisors (336366144).

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

114396480 is a wasteful number, since it uses less digits than its factorization.

114396480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 114396480 is about 10695.6290137607. The cubic root of 114396480 is about 485.4422295866.

The spelling of 114396480 in words is "one hundred fourteen million, three hundred ninety-six thousand, four hundred eighty".