463792314240 has 640 divisors, whose sum is σ = 1683720324000. Its totient is φ = 121648988160.

The previous prime is 463792314233. The next prime is 463792314269. The reversal of 463792314240 is 42413297364.

463792314240 is a `hidden beast` number, since 4 + 6 + 3 + 7 + 92 + 314 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1192267966 + ... + 1192268354.

Almost surely, 2^463792314240 is an apocalyptic number.

463792314240 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 463792314240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (841860162000).

463792314240 is an abundant number, since it is smaller than the sum of its proper divisors (1219928009760).

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

463792314240 is a wasteful number, since it uses less digits than its factorization.

463792314240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 463792314240 in words is "four hundred sixty-three billion, seven hundred ninety-two million, three hundred fourteen thousand, two hundred forty".