461903553 has 20 divisors (see below), whose sum is σ = 692219220. Its totient is φ = 306947232.

The previous prime is 461903543. The next prime is 461903557. The reversal of 461903553 is 355309164.

461903553 is a `hidden beast` number, since 4 + 619 + 0 + 35 + 5 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 171950769 + 289952784 = 13113^2 + 17028^2 .

It is not a de Polignac number, because 461903553 - 2⁵ = 461903521 is a prime.

It is not an unprimeable number, because it can be changed into a prime (461903557) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16683 + ... + 34671.

It is an arithmetic number, because the mean of its divisors is an integer number (34610961).

Almost surely, 2^461903553 is an apocalyptic number.

It is an amenable number.

461903553 is a deficient number, since it is larger than the sum of its proper divisors (230315667).

461903553 is a wasteful number, since it uses less digits than its factorization.

461903553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18318 (or 18309 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 461903553 is about 21491.9415828352. The cubic root of 461903553 is about 773.0076068084.

The spelling of 461903553 in words is "four hundred sixty-one million, nine hundred three thousand, five hundred fifty-three".