463740000 has 240 divisors, whose sum is σ = 1558751040. Its totient is φ = 120640000.

The previous prime is 463739953. The next prime is 463740037. The reversal of 463740000 is 47364.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3539935 + ... + 3540065.

It is an arithmetic number, because the mean of its divisors is an integer number (6494796).

Almost surely, 2^463740000 is an apocalyptic number.

463740000 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 463740000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779375520).

463740000 is an abundant number, since it is smaller than the sum of its proper divisors (1095011040).

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

463740000 is a wasteful number, since it uses less digits than its factorization.

463740000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 24.

The square root of 463740000 is about 21534.6232843763. The cubic root of 463740000 is about 774.0306993946.

Adding to 463740000 its reverse (47364), we get a palindrome (463787364).

The spelling of 463740000 in words is "four hundred sixty-three million, seven hundred forty thousand".