112460400 has 360 divisors, whose sum is σ = 440753040. Its totient is φ = 27371520.

The previous prime is 112460377. The next prime is 112460401. The reversal of 112460400 is 4064211.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112460401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1263556 + ... + 1263644.

It is an arithmetic number, because the mean of its divisors is an integer number (1224314).

Almost surely, 2^112460400 is an apocalyptic number.

112460400 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 112460400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220376520).

112460400 is an abundant number, since it is smaller than the sum of its proper divisors (328292640).

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

112460400 is a wasteful number, since it uses less digits than its factorization.

112460400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112460400 is about 10604.7347915919. The cubic root of 112460400 is about 482.6880436116.

The spelling of 112460400 in words is "one hundred twelve million, four hundred sixty thousand, four hundred".