463914000 has 480 divisors, whose sum is σ = 1852381440. Its totient is φ = 110880000.

The previous prime is 463913999. The next prime is 463914001. The reversal of 463914000 is 419364.

It is an interprime number because it is at equal distance from previous prime (463913999) and next prime (463914001).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (463914001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6533965 + ... + 6534035.

It is an arithmetic number, because the mean of its divisors is an integer number (3859128).

Almost surely, 2^463914000 is an apocalyptic number.

463914000 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 463914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (926190720).

463914000 is an abundant number, since it is smaller than the sum of its proper divisors (1388467440).

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

463914000 is a wasteful number, since it uses less digits than its factorization.

463914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 463914000 is about 21538.6629111466. The cubic root of 463914000 is about 774.1274953727.

The spelling of 463914000 in words is "four hundred sixty-three million, nine hundred fourteen thousand".