462373153242 has 192 divisors, whose sum is σ = 1314151050240. Its totient is φ = 105023692800.

The previous prime is 462373153219. The next prime is 462373153267. The reversal of 462373153242 is 242351373264.

It is a super-2 number, since 2×462373153242² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 462373153194 and 462373153203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1327642 + ... + 1639322.

It is an arithmetic number, because the mean of its divisors is an integer number (6844536720).

Almost surely, 2^462373153242 is an apocalyptic number.

462373153242 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 462373153242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657075525120).

462373153242 is an abundant number, since it is smaller than the sum of its proper divisors (851777896998).

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

462373153242 is a wasteful number, since it uses less digits than its factorization.

462373153242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311749 (or 311736 counting only the distinct ones).

The product of its digits is 725760, while the sum is 42.

The spelling of 462373153242 in words is "four hundred sixty-two billion, three hundred seventy-three million, one hundred fifty-three thousand, two hundred forty-two".