460415600 has 120 divisors (see below), whose sum is σ = 1205094000. Its totient is φ = 168376320.

The previous prime is 460415567. The next prime is 460415603. The reversal of 460415600 is 6514064.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 460415600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460415603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219356 + ... + 221444.

It is an arithmetic number, because the mean of its divisors is an integer number (10042450).

Almost surely, 2^460415600 is an apocalyptic number.

460415600 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 460415600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602547000).

460415600 is an abundant number, since it is smaller than the sum of its proper divisors (744678400).

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

460415600 is a wasteful number, since it uses less digits than its factorization.

460415600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 460415600 is about 21457.2971270848. The cubic root of 460415600 is about 772.1766712450.

Adding to 460415600 its reverse (6514064), we get a palindrome (466929664).

The spelling of 460415600 in words is "four hundred sixty million, four hundred fifteen thousand, six hundred".