462435472 has 40 divisors (see below), whose sum is σ = 929785976. Its totient is φ = 222621696.

The previous prime is 462435431. The next prime is 462435473. The reversal of 462435472 is 274534264.

It can be written as a sum of positive squares in 4 ways, for example, as 210134016 + 252301456 = 14496^2 + 15884^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is not an unprimeable number, because it can be changed into a prime (462435473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53398 + ... + 61450.

Almost surely, 2^462435472 is an apocalyptic number.

It is an amenable number.

462435472 is an abundant number, since it is smaller than the sum of its proper divisors (467350504).

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

462435472 is a wasteful number, since it uses less digits than its factorization.

462435472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8195 (or 8189 counting only the distinct ones).

The product of its digits is 161280, while the sum is 37.

The square root of 462435472 is about 21504.3128697478. The cubic root of 462435472 is about 773.3042197390.

It can be divided in two parts, 46243 and 5472, that added together give a palindrome (51715).

The spelling of 462435472 in words is "four hundred sixty-two million, four hundred thirty-five thousand, four hundred seventy-two".