463277040 has 240 divisors, whose sum is σ = 1555212960. Its totient is φ = 113991680.

The previous prime is 463277011. The next prime is 463277041. The reversal of 463277040 is 40772364.

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

It is a junction number, because it is equal to n+sod(n) for n = 463276992 and 463277010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463277041) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5205316 + ... + 5205404.

It is an arithmetic number, because the mean of its divisors is an integer number (6480054).

Almost surely, 2^463277040 is an apocalyptic number.

463277040 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 463277040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777606480).

463277040 is an abundant number, since it is smaller than the sum of its proper divisors (1091935920).

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

463277040 is a wasteful number, since it uses less digits than its factorization.

463277040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 463277040 is about 21523.8713989840. The cubic root of 463277040 is about 773.7730373668.

The spelling of 463277040 in words is "four hundred sixty-three million, two hundred seventy-seven thousand, forty".