462831040 has 112 divisors (see below), whose sum is σ = 1265236992. Its totient is φ = 157971456.

The previous prime is 462830999. The next prime is 462831041. The reversal of 462831040 is 40138264.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (462831041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 821799 + ... + 822361.

Almost surely, 2^462831040 is an apocalyptic number.

462831040 is a gapful number since it is divisible by the number (40) 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 462831040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (632618496).

462831040 is an abundant number, since it is smaller than the sum of its proper divisors (802405952).

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

462831040 is a wasteful number, since it uses less digits than its factorization.

462831040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 954 (or 944 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 462831040 is about 21513.5083145451. The cubic root of 462831040 is about 773.5246520967.

The spelling of 462831040 in words is "four hundred sixty-two million, eight hundred thirty-one thousand, forty".