462640420 has 48 divisors (see below), whose sum is σ = 1074423168. Its totient is φ = 165922560.

The previous prime is 462640379. The next prime is 462640447. The reversal of 462640420 is 24046264.

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, 1657 + ... + 30463.

It is an arithmetic number, because the mean of its divisors is an integer number (22383816).

Almost surely, 2^462640420 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 462640420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537211584).

462640420 is an abundant number, since it is smaller than the sum of its proper divisors (611782748).

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

462640420 is a wasteful number, since it uses less digits than its factorization.

462640420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28900 (or 28898 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

The square root of 462640420 is about 21509.0776185312. The cubic root of 462640420 is about 773.4184437804.

Adding to 462640420 its reverse (24046264), we get a palindrome (486686684).

The spelling of 462640420 in words is "four hundred sixty-two million, six hundred forty thousand, four hundred twenty".