462563994240 has 1152 divisors, whose sum is σ = 1807398094320. Its totient is φ = 108559073280.

The previous prime is 462563994229. The next prime is 462563994307. The reversal of 462563994240 is 42499365264.

462563994240 is a `hidden beast` number, since 4 + 6 + 2 + 5 + 6 + 399 + 4 + 240 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 8622236736 + 453941757504 = 92856^2 + 673752^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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, 3376379452 + ... + 3376379588.

Almost surely, 2^462563994240 is an apocalyptic number.

462563994240 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 462563994240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903699047160).

462563994240 is an abundant number, since it is smaller than the sum of its proper divisors (1344834100080).

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

462563994240 is a wasteful number, since it uses less digits than its factorization.

462563994240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 462563994240 in words is "four hundred sixty-two billion, five hundred sixty-three million, nine hundred ninety-four thousand, two hundred forty".