462420224640 has 768 divisors, whose sum is σ = 1892942438400. Its totient is φ = 102767616000.

The previous prime is 462420224603. The next prime is 462420224641. The reversal of 462420224640 is 46422024264.

462420224640 is a `hidden beast` number, since 4 + 6 + 2 + 4 + 2 + 0 + 2 + 2 + 4 + 640 = 666.

It is a super-2 number, since 2×462420224640² (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 = 462420224595 and 462420224604.

It is not an unprimeable number, because it can be changed into a prime (462420224641) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 37312845 + ... + 37325235.

It is an arithmetic number, because the mean of its divisors is an integer number (2464768800).

Almost surely, 2^462420224640 is an apocalyptic number.

462420224640 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 462420224640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (946471219200).

462420224640 is an abundant number, since it is smaller than the sum of its proper divisors (1430522213760).

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

462420224640 is a wasteful number, since it uses less digits than its factorization.

462420224640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12477 (or 12462 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

The spelling of 462420224640 in words is "four hundred sixty-two billion, four hundred twenty million, two hundred twenty-four thousand, six hundred forty".