1461311604 has 72 divisors (see below), whose sum is σ = 3954332928. Its totient is φ = 471381120.

The previous prime is 1461311597. The next prime is 1461311617. The reversal of 1461311604 is 4061131641.

1461311604 is a `hidden beast` number, since 1 + 46 + 1 + 3 + 11 + 604 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5884 + ... + 54380.

Almost surely, 2^1461311604 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 1461311604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1977166464).

1461311604 is an abundant number, since it is smaller than the sum of its proper divisors (2493021324).

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

1461311604 is a wasteful number, since it uses less digits than its factorization.

1461311604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48547 (or 48533 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 1461311604 is about 38227.1056189191. The cubic root of 1461311604 is about 1134.7868059401.

The spelling of 1461311604 in words is "one billion, four hundred sixty-one million, three hundred eleven thousand, six hundred four".