1461505464 has 128 divisors (see below), whose sum is σ = 4149964800. Its totient is φ = 476461440.

The previous prime is 1461505421. The next prime is 1461505471. The reversal of 1461505464 is 4645051641.

1461505464 is a `hidden beast` number, since 1 + 4 + 61 + 50 + 546 + 4 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2407449 + ... + 2408055.

It is an arithmetic number, because the mean of its divisors is an integer number (32421600).

Almost surely, 2^1461505464 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 1461505464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2074982400).

1461505464 is an abundant number, since it is smaller than the sum of its proper divisors (2688459336).

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

1461505464 is a wasteful number, since it uses less digits than its factorization.

1461505464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 850 (or 840 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 1461505464 is about 38229.6411701706. The cubic root of 1461505464 is about 1134.8369846157.

The spelling of 1461505464 in words is "one billion, four hundred sixty-one million, five hundred five thousand, four hundred sixty-four".