463334826240 has 1296 divisors, whose sum is σ = 1969978780224. Its totient is φ = 103573831680.

The previous prime is 463334826211. The next prime is 463334826299. The reversal of 463334826240 is 42628433364.

It is a happy number.

463334826240 is a `hidden beast` number, since 4 + 6 + 3 + 3 + 348 + 262 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a super-2 number, since 2×463334826240² (a number of 24 digits) contains 22 as substring.

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 143 ways as a sum of consecutive naturals, for example, 489265447 + ... + 489266393.

Almost surely, 2^463334826240 is an apocalyptic number.

463334826240 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 463334826240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (984989390112).

463334826240 is an abundant number, since it is smaller than the sum of its proper divisors (1506643953984).

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

463334826240 is a wasteful number, since it uses less digits than its factorization.

463334826240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 981 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 45.

The spelling of 463334826240 in words is "four hundred sixty-three billion, three hundred thirty-four million, eight hundred twenty-six thousand, two hundred forty".