462442500 has 480 divisors, whose sum is σ = 1763435520. Its totient is φ = 103680000.

The previous prime is 462442489. The next prime is 462442507. The reversal of 462442500 is 5244264.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462442507) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14917485 + ... + 14917515.

It is an arithmetic number, because the mean of its divisors is an integer number (3673824).

Almost surely, 2^462442500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462442500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (881717760).

462442500 is an abundant number, since it is smaller than the sum of its proper divisors (1300993020).

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

462442500 is a wasteful number, since it uses less digits than its factorization.

462442500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 462442500 is about 21504.4762782078. The cubic root of 462442500 is about 773.3081372257.

Adding to 462442500 its reverse (5244264), we get a palindrome (467686764).

The spelling of 462442500 in words is "four hundred sixty-two million, four hundred forty-two thousand, five hundred".