463660000 has 120 divisors (see below), whose sum is σ = 1157254560. Its totient is φ = 182784000.

The previous prime is 463659991. The next prime is 463660009. The reversal of 463660000 is 66364.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (463659991) and next prime (463660009).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463660009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1939881 + ... + 1940119.

It is an arithmetic number, because the mean of its divisors is an integer number (9643788).

Almost surely, 2^463660000 is an apocalyptic number.

463660000 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 463660000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (578627280).

463660000 is an abundant number, since it is smaller than the sum of its proper divisors (693594560).

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

463660000 is an equidigital number, since it uses as much as digits as its factorization.

463660000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 25.

The square root of 463660000 is about 21532.7657303933. The cubic root of 463660000 is about 773.9861873713.

The spelling of 463660000 in words is "four hundred sixty-three million, six hundred sixty thousand".