462065472 has 336 divisors, whose sum is σ = 1559917632. Its totient is φ = 134369280.

The previous prime is 462065431. The next prime is 462065473. The reversal of 462065472 is 274560264.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462065473) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6329628 + ... + 6329700.

It is an arithmetic number, because the mean of its divisors is an integer number (4642612).

Almost surely, 2^462065472 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 462065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779958816).

462065472 is an abundant number, since it is smaller than the sum of its proper divisors (1097852160).

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

462065472 is a wasteful number, since it uses less digits than its factorization.

462065472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 462065472 is about 21495.7082228058. The cubic root of 462065472 is about 773.0979214750.

The spelling of 462065472 in words is "four hundred sixty-two million, sixty-five thousand, four hundred seventy-two".