462272328 has 96 divisors (see below), whose sum is σ = 1435262400. Its totient is φ = 131670144.

The previous prime is 462272309. The next prime is 462272353. The reversal of 462272328 is 823272264.

It is a happy number.

462272328 is a `hidden beast` number, since 4 + 62 + 272 + 328 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 462272292 and 462272301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186763 + ... + 189221.

It is an arithmetic number, because the mean of its divisors is an integer number (14950650).

Almost surely, 2^462272328 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 462272328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (717631200).

462272328 is an abundant number, since it is smaller than the sum of its proper divisors (972990072).

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

462272328 is a wasteful number, since it uses less digits than its factorization.

462272328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2851 (or 2844 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 462272328 is about 21500.5192495437. The cubic root of 462272328 is about 773.2132702694.

The spelling of 462272328 in words is "four hundred sixty-two million, two hundred seventy-two thousand, three hundred twenty-eight".