462270732 has 96 divisors (see below), whose sum is σ = 1423941120. Its totient is φ = 113003520.

The previous prime is 462270713. The next prime is 462270733. The reversal of 462270732 is 237072264.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 462270693 and 462270702.

It is not an unprimeable number, because it can be changed into a prime (462270733) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 994 + ... + 30422.

It is an arithmetic number, because the mean of its divisors is an integer number (14832720).

Almost surely, 2^462270732 is an apocalyptic number.

462270732 is a gapful number since it is divisible by the number (42) 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 462270732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (711970560).

462270732 is an abundant number, since it is smaller than the sum of its proper divisors (961670388).

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

462270732 is a wasteful number, since it uses less digits than its factorization.

462270732 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29471 (or 29469 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 462270732 is about 21500.4821341290. The cubic root of 462270732 is about 773.2123804261.

The spelling of 462270732 in words is "four hundred sixty-two million, two hundred seventy thousand, seven hundred thirty-two".