463125040 has 40 divisors (see below), whose sum is σ = 1230590880. Its totient is φ = 158785536.

The previous prime is 463125031. The next prime is 463125049. The reversal of 463125040 is 40521364.

It is an interprime number because it is at equal distance from previous prime (463125031) and next prime (463125049).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 463124996 and 463125014.

It is not an unprimeable number, because it can be changed into a prime (463125049) 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, 412945 + ... + 414064.

It is an arithmetic number, because the mean of its divisors is an integer number (30764772).

Almost surely, 2^463125040 is an apocalyptic number.

463125040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463125040 is an abundant number, since it is smaller than the sum of its proper divisors (767465840).

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

463125040 is a wasteful number, since it uses less digits than its factorization.

463125040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827029 (or 827023 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

The square root of 463125040 is about 21520.3401460107. The cubic root of 463125040 is about 773.6884037986.

The spelling of 463125040 in words is "four hundred sixty-three million, one hundred twenty-five thousand, forty".