462523000 has 64 divisors (see below), whose sum is σ = 1085497920. Its totient is φ = 184464000.

The previous prime is 462522953. The next prime is 462523003. The reversal of 462523000 is 325264.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462523003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 630634 + ... + 631366.

It is an arithmetic number, because the mean of its divisors is an integer number (16960905).

Almost surely, 2^462523000 is an apocalyptic number.

462523000 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 462523000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542748960).

462523000 is an abundant number, since it is smaller than the sum of its proper divisors (622974920).

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

462523000 is a wasteful number, since it uses less digits than its factorization.

462523000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1385 (or 1371 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 22.

The square root of 462523000 is about 21506.3479000968. The cubic root of 462523000 is about 773.3530060064.

Adding to 462523000 its reverse (325264), we get a palindrome (462848264).

The spelling of 462523000 in words is "four hundred sixty-two million, five hundred twenty-three thousand".