460204000 has 96 divisors (see below), whose sum is σ = 1142721216. Its totient is φ = 182131200.

The previous prime is 460203979. The next prime is 460204007. The reversal of 460204000 is 402064.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (460204007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411442 + ... + 412558.

It is an arithmetic number, because the mean of its divisors is an integer number (11903346).

Almost surely, 2^460204000 is an apocalyptic number.

460204000 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 460204000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571360608).

460204000 is an abundant number, since it is smaller than the sum of its proper divisors (682517216).

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

460204000 is a wasteful number, since it uses less digits than its factorization.

460204000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 460204000 is about 21452.3658368955. The cubic root of 460204000 is about 772.0583595711.

Adding to 460204000 its reverse (402064), we get a palindrome (460606064).

The spelling of 460204000 in words is "four hundred sixty million, two hundred four thousand".