459768600 has 144 divisors (see below), whose sum is σ = 1565655000. Its totient is φ = 120890880.

The previous prime is 459768563. The next prime is 459768601. The reversal of 459768600 is 6867954.

It is a super-2 number, since 2×459768600² = 422774331091920000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (459768601) 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, 129651 + ... + 133149.

Almost surely, 2^459768600 is an apocalyptic number.

459768600 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 459768600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782827500).

459768600 is an abundant number, since it is smaller than the sum of its proper divisors (1105886400).

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

459768600 is a wasteful number, since it uses less digits than its factorization.

459768600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3582 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 459768600 is about 21442.2153706188. The cubic root of 459768600 is about 771.8148007163.

The spelling of 459768600 in words is "four hundred fifty-nine million, seven hundred sixty-eight thousand, six hundred".