462226520 has 64 divisors (see below), whose sum is σ = 1190963520. Its totient is φ = 158160384.

The previous prime is 462226519. The next prime is 462226537. The reversal of 462226520 is 25622264.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 170294 + ... + 172986.

It is an arithmetic number, because the mean of its divisors is an integer number (18608805).

Almost surely, 2^462226520 is an apocalyptic number.

462226520 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 462226520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (595481760).

462226520 is an abundant number, since it is smaller than the sum of its proper divisors (728737000).

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

462226520 is a wasteful number, since it uses less digits than its factorization.

462226520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3324 (or 3320 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 29.

The square root of 462226520 is about 21499.4539465541. The cubic root of 462226520 is about 773.1877293913.

Adding to 462226520 its reverse (25622264), we get a palindrome (487848784).

The spelling of 462226520 in words is "four hundred sixty-two million, two hundred twenty-six thousand, five hundred twenty".