460118400 has 384 divisors, whose sum is σ = 1784885760. Its totient is φ = 101990400.

The previous prime is 460118389. The next prime is 460118401. The reversal of 460118400 is 4811064.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460118401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2755117 + ... + 2755283.

It is an arithmetic number, because the mean of its divisors is an integer number (4648140).

Almost surely, 2^460118400 is an apocalyptic number.

460118400 is a gapful number since it is divisible by the number (40) 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 460118400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (892442880).

460118400 is an abundant number, since it is smaller than the sum of its proper divisors (1324767360).

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

460118400 is a wasteful number, since it uses less digits than its factorization.

460118400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 460118400 is about 21450.3706261687. The cubic root of 460118400 is about 772.0104878348.

Adding to 460118400 its reverse (4811064), we get a palindrome (464929464).

The spelling of 460118400 in words is "four hundred sixty million, one hundred eighteen thousand, four hundred".