462521010 has 64 divisors (see below), whose sum is σ = 1273128192. Its totient is φ = 105344256.

The previous prime is 462520997. The next prime is 462521083. The reversal of 462521010 is 10125264.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57772 + ... + 65288.

It is an arithmetic number, because the mean of its divisors is an integer number (19892628).

Almost surely, 2^462521010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 462521010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (636564096).

462521010 is an abundant number, since it is smaller than the sum of its proper divisors (810607182).

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

462521010 is a wasteful number, since it uses less digits than its factorization.

462521010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7827.

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 462521010 is about 21506.3016346372. The cubic root of 462521010 is about 773.3518968906.

Adding to 462521010 its reverse (10125264), we get a palindrome (472646274).

The spelling of 462521010 in words is "four hundred sixty-two million, five hundred twenty-one thousand, ten".