40461600 has 144 divisors (see below), whose sum is σ = 137616192. Its totient is φ = 10306560.

The previous prime is 40461559. The next prime is 40461607. The reversal of 40461600 is 616404.

It is not an unprimeable number, because it can be changed into a prime (40461607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54834 + ... + 55566.

It is an arithmetic number, because the mean of its divisors is an integer number (955668).

Almost surely, 2^40461600 is an apocalyptic number.

40461600 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 40461600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68808096).

40461600 is an abundant number, since it is smaller than the sum of its proper divisors (97154592).

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

40461600 is a wasteful number, since it uses less digits than its factorization.

40461600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 766 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 40461600 is about 6360.9433262685. The cubic root of 40461600 is about 343.3057025763.

The spelling of 40461600 in words is "forty million, four hundred sixty-one thousand, six hundred".