461240037 has 24 divisors (see below), whose sum is σ = 684611928. Its totient is φ = 299059200.

The previous prime is 461240027. The next prime is 461240053. The reversal of 461240037 is 730042164.

461240037 is a `hidden beast` number, since 4 + 612 + 40 + 0 + 3 + 7 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 236196 + 461003841 = 486^2 + 21471^2 .

It is not a de Polignac number, because 461240037 - 2¹² = 461235941 is a prime.

It is a super-2 number, since 2×461240037² = 425484743463522738, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461240027) 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, 128487 + ... + 132027.

It is an arithmetic number, because the mean of its divisors is an integer number (28525497).

Almost surely, 2^461240037 is an apocalyptic number.

It is an amenable number.

461240037 is a deficient number, since it is larger than the sum of its proper divisors (223371891).

461240037 is a wasteful number, since it uses less digits than its factorization.

461240037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3941 (or 3938 counting only the distinct ones).

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

The square root of 461240037 is about 21476.4996449608. The cubic root of 461240037 is about 772.6372923420.

The spelling of 461240037 in words is "four hundred sixty-one million, two hundred forty thousand, thirty-seven".