1461285840 has 240 divisors, whose sum is σ = 5313892032. Its totient is φ = 331204608.

The previous prime is 1461285827. The next prime is 1461285853. The reversal of 1461285840 is 485821641.

It is an interprime number because it is at equal distance from previous prime (1461285827) and next prime (1461285853).

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

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, 1610667 + ... + 1611573.

Almost surely, 2^1461285840 is an apocalyptic number.

1461285840 is a gapful number since it is divisible by the number (10) 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 1461285840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2656946016).

1461285840 is an abundant number, since it is smaller than the sum of its proper divisors (3852606192).

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

1461285840 is a wasteful number, since it uses less digits than its factorization.

1461285840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1074 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 39.

The square root of 1461285840 is about 38226.7686314185. The cubic root of 1461285840 is about 1134.7801368585.

The spelling of 1461285840 in words is "one billion, four hundred sixty-one million, two hundred eighty-five thousand, eight hundred forty".