462925000 has 48 divisors (see below), whose sum is σ = 1084969620. Its totient is φ = 185160000.

The previous prime is 462924997. The next prime is 462925003. The reversal of 462925000 is 529264.

It is an interprime number because it is at equal distance from previous prime (462924997) and next prime (462925003).

It can be written as a sum of positive squares in 6 ways, for example, as 94361796 + 368563204 = 9714^2 + 19198^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 462925000.

It is not an unprimeable number, because it can be changed into a prime (462925003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15742 + ... + 34258.

Almost surely, 2^462925000 is an apocalyptic number.

462925000 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 462925000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542484810).

462925000 is an abundant number, since it is smaller than the sum of its proper divisors (622044620).

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

462925000 is an equidigital number, since it uses as much as digits as its factorization.

462925000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18548 (or 18524 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 462925000 is about 21515.6919479714. The cubic root of 462925000 is about 773.5769933417.

The spelling of 462925000 in words is "four hundred sixty-two million, nine hundred twenty-five thousand".