460461600 has 216 divisors, whose sum is σ = 1676892672. Its totient is φ = 118771200.

The previous prime is 460461583. The next prime is 460461601. The reversal of 460461600 is 6164064.

460461600 is a `hidden beast` number, since 46 + 0 + 4 + 616 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460461601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 222169 + ... + 224231.

It is an arithmetic number, because the mean of its divisors is an integer number (7763392).

Almost surely, 2^460461600 is an apocalyptic number.

460461600 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 460461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (838446336).

460461600 is an abundant number, since it is smaller than the sum of its proper divisors (1216431072).

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

460461600 is a wasteful number, since it uses less digits than its factorization.

460461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2120 (or 2104 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 460461600 is about 21458.3689967341. The cubic root of 460461600 is about 772.2023863771.

The spelling of 460461600 in words is "four hundred sixty million, four hundred sixty-one thousand, six hundred".