462213527040 has 400 divisors, whose sum is σ = 1662496794288. Its totient is φ = 123243503616.

The previous prime is 462213527011. The next prime is 462213527063. The reversal of 462213527040 is 40725312264.

462213527040 is a `hidden beast` number, since 4 + 622 + 1 + 3 + 5 + 27 + 0 + 4 + 0 = 666.

It is a super-2 number, since 2×462213527040² (a number of 24 digits) contains 22 as substring.

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 = 462213526986 and 462213527004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50383894 + ... + 50393066.

Almost surely, 2^462213527040 is an apocalyptic number.

462213527040 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 462213527040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (831248397144).

462213527040 is an abundant number, since it is smaller than the sum of its proper divisors (1200283267248).

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

462213527040 is an frugal number, since it uses more digits than its factorization.

462213527040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9223 (or 9183 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 462213527040 in words is "four hundred sixty-two billion, two hundred thirteen million, five hundred twenty-seven thousand, forty".