460533032400 has 120 divisors (see below), whose sum is σ = 1685989532224. Its totient is φ = 105264691200.

The previous prime is 460533032371. The next prime is 460533032441. The reversal of 460533032400 is 4230335064.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 27404281 + ... + 27421080.

Almost surely, 2^460533032400 is an apocalyptic number.

460533032400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

460533032400 is an abundant number, since it is smaller than the sum of its proper divisors (1225456499824).

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

460533032400 is a wasteful number, since it uses less digits than its factorization.

460533032400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54825389 (or 54825378 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

Adding to 460533032400 its reverse (4230335064), we get a palindrome (464763367464).

The spelling of 460533032400 in words is "four hundred sixty billion, five hundred thirty-three million, thirty-two thousand, four hundred".