116257440 has 192 divisors, whose sum is σ = 407780352. Its totient is φ = 27648000.

The previous prime is 116257429. The next prime is 116257481. The reversal of 116257440 is 44752611.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 116257398 and 116257407.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193140 + ... + 193740.

It is an arithmetic number, because the mean of its divisors is an integer number (2123856).

Almost surely, 2^116257440 is an apocalyptic number.

116257440 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 116257440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203890176).

116257440 is an abundant number, since it is smaller than the sum of its proper divisors (291522912).

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

116257440 is a wasteful number, since it uses less digits than its factorization.

116257440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 655 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 116257440 is about 10782.2743426422. The cubic root of 116257440 is about 488.0604153456.

It can be divided in two parts, 11625 and 7440, that multiplied together give a square (86490000 = 9300²).

The spelling of 116257440 in words is "one hundred sixteen million, two hundred fifty-seven thousand, four hundred forty".