462456040 has 32 divisors (see below), whose sum is σ = 1076409000. Its totient is φ = 178603264.

The previous prime is 462456019. The next prime is 462456041. The reversal of 462456040 is 40654264.

It can be written as a sum of positive squares in 4 ways, for example, as 416731396 + 45724644 = 20414^2 + 6762^2 .

It is a junction number, because it is equal to n+sod(n) for n = 462455993 and 462456011.

It is not an unprimeable number, because it can be changed into a prime (462456041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 198175 + ... + 200494.

Almost surely, 2^462456040 is an apocalyptic number.

462456040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

462456040 is an abundant number, since it is smaller than the sum of its proper divisors (613952960).

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

462456040 is a wasteful number, since it uses less digits than its factorization.

462456040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398709 (or 398705 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 462456040 is about 21504.7910940795. The cubic root of 462456040 is about 773.3156844631.

The spelling of 462456040 in words is "four hundred sixty-two million, four hundred fifty-six thousand, forty".