461604450 has 48 divisors (see below), whose sum is σ = 1149230016. Its totient is φ = 122616000.

The previous prime is 461604443. The next prime is 461604461. The reversal of 461604450 is 54406164.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33600 + ... + 45300.

It is an arithmetic number, because the mean of its divisors is an integer number (23942292).

Almost surely, 2^461604450 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461604450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574615008).

461604450 is an abundant number, since it is smaller than the sum of its proper divisors (687625566).

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

461604450 is a wasteful number, since it uses less digits than its factorization.

461604450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11979 (or 11974 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 461604450 is about 21484.9819641535. The cubic root of 461604450 is about 772.8407185647.

The spelling of 461604450 in words is "four hundred sixty-one million, six hundred four thousand, four hundred fifty".