1461753460 has 48 divisors (see below), whose sum is σ = 3125815056. Its totient is φ = 574083072.

The previous prime is 1461753437. The next prime is 1461753463. The reversal of 1461753460 is 643571641.

It can be written as a sum of positive squares in 8 ways, for example, as 45887076 + 1415866384 = 6774^2 + 37628^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1461753463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338032 + ... + 342328.

It is an arithmetic number, because the mean of its divisors is an integer number (65121147).

Almost surely, 2^1461753460 is an apocalyptic number.

1461753460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1461753460 is an abundant number, since it is smaller than the sum of its proper divisors (1664061596).

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

1461753460 is a wasteful number, since it uses less digits than its factorization.

1461753460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4612 (or 4610 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The square root of 1461753460 is about 38232.8845367440. The cubic root of 1461753460 is about 1134.9011693720.

The spelling of 1461753460 in words is "one billion, four hundred sixty-one million, seven hundred fifty-three thousand, four hundred sixty".