463934720340 has 1728 divisors, whose sum is σ = 1976745738240. Its totient is φ = 89086832640.

The previous prime is 463934720297. The next prime is 463934720341. The reversal of 463934720340 is 43027439364.

463934720340 is a `hidden beast` number, since 4 + 63 + 9 + 347 + 203 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463934720341) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 3386384752 + ... + 3386384888.

It is an arithmetic number, because the mean of its divisors is an integer number (1143950080).

Almost surely, 2^463934720340 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 463934720340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (988372869120).

463934720340 is an abundant number, since it is smaller than the sum of its proper divisors (1512811017900).

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

463934720340 is a wasteful number, since it uses less digits than its factorization.

463934720340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 45.

The spelling of 463934720340 in words is "four hundred sixty-three billion, nine hundred thirty-four million, seven hundred twenty thousand, three hundred forty".