463540900 has 27 divisors (see below), whose sum is σ = 1006351171. Its totient is φ = 185330240.

The previous prime is 463540897. The next prime is 463540933. The reversal of 463540900 is 9045364.

The square root of 463540900 is 21530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 170720356 + 292820544 = 13066^2 + 17112^2 .

It is a super-3 number, since 3×463540900³ (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 214224 + ... + 216376.

Almost surely, 2^463540900 is an apocalyptic number.

463540900 is the 21530-th square number.

It is an amenable number.

463540900 is an abundant number, since it is smaller than the sum of its proper divisors (542810271).

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

463540900 is an equidigital number, since it uses as much as digits as its factorization.

463540900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4320 (or 2160 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The cubic root of 463540900 is about 773.9199106104.

The spelling of 463540900 in words is "four hundred sixty-three million, five hundred forty thousand, nine hundred".