1461759552 has 336 divisors, whose sum is σ = 4972653504. Its totient is φ = 405504000.

The previous prime is 1461759539. The next prime is 1461759589. The reversal of 1461759552 is 2559571641.

It is a happy number.

1461759552 is a `hidden beast` number, since 1 + 4 + 6 + 1 + 7 + 595 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1461759498 and 1461759507.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4416027 + ... + 4416357.

It is an arithmetic number, because the mean of its divisors is an integer number (14799564).

Almost surely, 2^1461759552 is an apocalyptic number.

1461759552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1461759552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2486326752).

1461759552 is an abundant number, since it is smaller than the sum of its proper divisors (3510893952).

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

1461759552 is a wasteful number, since it uses less digits than its factorization.

1461759552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 405 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 1461759552 is about 38232.9642062972. The cubic root of 1461759552 is about 1134.9027459735.

The spelling of 1461759552 in words is "one billion, four hundred sixty-one million, seven hundred fifty-nine thousand, five hundred fifty-two".