461625000 has 112 divisors (see below), whose sum is σ = 1443731520. Its totient is φ = 123000000.

The previous prime is 461624993. The next prime is 461625013. The reversal of 461625000 is 526164.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 374385 + ... + 375615.

It is an arithmetic number, because the mean of its divisors is an integer number (12890460).

Almost surely, 2^461625000 is an apocalyptic number.

461625000 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 461625000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (721865760).

461625000 is an abundant number, since it is smaller than the sum of its proper divisors (982106520).

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

461625000 is an equidigital number, since it uses as much as digits as its factorization.

461625000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1270 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 461625000 is about 21485.4601998654. The cubic root of 461625000 is about 772.8521869991.

The spelling of 461625000 in words is "four hundred sixty-one million, six hundred twenty-five thousand".