461903616 has 108 divisors (see below), whose sum is σ = 1337740768. Its totient is φ = 153280512.

The previous prime is 461903609. The next prime is 461903669. The reversal of 461903616 is 616309164.

461903616 is a `hidden beast` number, since 4 + 619 + 0 + 36 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 997401 + ... + 997863.

Almost surely, 2^461903616 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 461903616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (668870384).

461903616 is an abundant number, since it is smaller than the sum of its proper divisors (875837152).

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

461903616 is a wasteful number, since it uses less digits than its factorization.

461903616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 461903616 is about 21491.9430485008. The cubic root of 461903616 is about 773.0076419524.

The spelling of 461903616 in words is "four hundred sixty-one million, nine hundred three thousand, six hundred sixteen".