461203740 has 96 divisors (see below), whose sum is σ = 1481195520. Its totient is φ = 119016000.

The previous prime is 461203697. The next prime is 461203741. The reversal of 461203740 is 47302164.

461203740 is a `hidden beast` number, since 4 + 612 + 0 + 3 + 7 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461203741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2965 + ... + 30515.

It is an arithmetic number, because the mean of its divisors is an integer number (15429120).

Almost surely, 2^461203740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461203740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (740597760).

461203740 is an abundant number, since it is smaller than the sum of its proper divisors (1019991780).

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

461203740 is a wasteful number, since it uses less digits than its factorization.

461203740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27600 (or 27592 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 461203740 is about 21475.6545883938. The cubic root of 461203740 is about 772.6170244054.

The spelling of 461203740 in words is "four hundred sixty-one million, two hundred three thousand, seven hundred forty".