463404090240 has 2304 divisors, whose sum is σ = 2172789964800. Its totient is φ = 88504565760.

The previous prime is 463404090239. The next prime is 463404090257. The reversal of 463404090240 is 42090404364.

463404090240 is a `hidden beast` number, since 4 + 6 + 3 + 4 + 0 + 409 + 0 + 240 = 666.

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 = 463404090195 and 463404090204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5865874521 + ... + 5865874599.

It is an arithmetic number, because the mean of its divisors is an integer number (943051200).

Almost surely, 2^463404090240 is an apocalyptic number.

463404090240 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 463404090240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1086394982400).

463404090240 is an abundant number, since it is smaller than the sum of its proper divisors (1709385874560).

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

463404090240 is a wasteful number, since it uses less digits than its factorization.

463404090240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 463404090240 in words is "four hundred sixty-three billion, four hundred four million, ninety thousand, two hundred forty".