463076640 has 288 divisors, whose sum is σ = 1762553520. Its totient is φ = 109928448.

The previous prime is 463076629. The next prime is 463076657. The reversal of 463076640 is 46670364.

463076640 is a `hidden beast` number, since 4 + 6 + 3 + 0 + 7 + 6 + 640 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 30603024 + 432473616 = 5532^2 + 20796^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 463076595 and 463076604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 542454 + ... + 543306.

Almost surely, 2^463076640 is an apocalyptic number.

463076640 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 463076640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881276760).

463076640 is an abundant number, since it is smaller than the sum of its proper divisors (1299476880).

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

463076640 is a wasteful number, since it uses less digits than its factorization.

463076640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 905 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 463076640 is about 21519.2155990872. The cubic root of 463076640 is about 773.6614508017.

The spelling of 463076640 in words is "four hundred sixty-three million, seventy-six thousand, six hundred forty".